Master Graphing Piecewise Functions on Desmos

Piecewise capabilities, combining a number of capabilities over completely different intervals, can current challenges when graphing. Nonetheless, Desmos, a web based graphing calculator, presents a handy resolution. By using its piecewise operate capabilities, customers can effortlessly visualize the conduct of those capabilities throughout various domains. Whether or not you are a scholar finding out advanced equations or knowledgeable searching for to investigate real-world situations, Desmos empowers you to discover piecewise capabilities with exceptional readability and precision.

To start graphing a piecewise operate in Desmos, outline every section of the operate individually. For example, if the piecewise operate is outlined as f(x) = x for x ≤ 0 and f(x) = x^2 for x > 0, you’ll first enter “x” within the equation editor for the interval x ≤ 0 and “x^2” for the interval x > 0. Desmos mechanically acknowledges the piecewise nature of the operate, displaying the graph accordingly.

Moreover, Desmos gives superior options for customizing and analyzing piecewise capabilities. You may regulate the area and vary of the graph, zoom out and in to concentrate on particular intervals, and add labels and annotations to boost comprehension. By harnessing these capabilities, you may acquire a deeper understanding of the conduct of piecewise capabilities, establish factors of discontinuity, and discover their functions in varied fields.

Graphing Piecewise Capabilities on Desmos: A Step-by-Step Information

1. Understanding Piecewise Capabilities

Piecewise capabilities are a kind of operate that consists of a number of elements, every of which is outlined over a particular interval. For instance, the next operate is a piecewise operate with two elements:

$$f(x)=start{circumstances} x+1 & textual content{if } xle 0 x^2 & textual content{if } x>0 finish{circumstances}$$

The primary a part of the operate is outlined for $xle 0$, and the second half is outlined for $x>0$. The graph of a piecewise operate is solely the union of the graphs of its particular person elements.

To graph a piecewise operate on Desmos, you may observe these steps:

1. Enter the operate into Desmos. You are able to do this by typing the operate into the enter subject on the prime of the display.
2. Click on on the "Graph" button. This can generate a graph of the operate.
3. Determine the completely different elements of the operate. The graph of a piecewise operate may have a number of segments, every of which corresponds to a distinct a part of the operate.
4. Label the completely different elements of the operate. You should use the "Textual content" device so as to add labels to the completely different elements of the operate.

Right here is an instance of how you can graph a piecewise operate on Desmos:

[Image of a piecewise function graphed on Desmos]

The operate on this instance is outlined as follows:

$$f(x)=start{circumstances} x+1 & textual content{if } xle 0 x^2 & textual content{if } x>0 finish{circumstances}$$

The graph of the operate has two elements: a linear half for $xle 0$ and a parabolic half for $x>0$. The 2 elements of the graph are separated by a vertical line at $x=0$.

2. Utilizing the Piecewise() Operate

Desmos additionally gives a built-in operate referred to as Piecewise(), which can be utilized to graph piecewise capabilities. The Piecewise() operate takes two arguments: an inventory of situations and an inventory of corresponding outputs. For instance, the next code would graph the identical piecewise operate as within the earlier instance:

Piecewise({
  {x+1, x<=0},
  {x^2, x>0}
})

The primary argument to the Piecewise() operate is an inventory of situations. Every situation is a logical expression that determines whether or not the corresponding output needs to be used. The second argument to the Piecewise() operate is an inventory of outputs. Every output is the worth of the operate for the corresponding situation.

The Piecewise() operate can be utilized to graph any piecewise operate. Nonetheless, you will need to observe that the situations should be mutually unique and exhaustive. Which means that every situation should be true for a distinct set of values, and the union of all of the situations should cowl all the area of the operate.

3. Desk of Values

One other method to graph a piecewise operate is to make use of a desk of values. A desk of values reveals the enter and output values of a operate for a given set of values. Right here is an instance of a desk of values for the piecewise operate from the earlier instance:

x	f(x)
-2	-1
-1	0
0	1
1	1
2	4

The desk of values reveals that the operate takes the worth -1 when x=-2, the worth 0 when x=-1, the worth 1 when x=0, the worth 1 when x=1, and the worth 4 when x=2. These values can be utilized to plot the graph of the operate.

4. Graphing Methods

There are a selection of various strategies that can be utilized to graph piecewise capabilities. A number of the most typical strategies embody:

• Utilizing the Piecewise() operate
• Utilizing a desk of values
• Graphing every a part of the operate individually
• Utilizing a graphing calculator

The perfect approach for graphing a piecewise operate is dependent upon the particular operate. Nonetheless, the Piecewise() operate is an efficient possibility for many piecewise capabilities.

Understanding Piecewise Capabilities

Piecewise capabilities are a kind of operate that’s outlined by completely different guidelines for various intervals of the enter variable. Which means that the graph of a piecewise operate may have completely different sections, every of which is outlined by a distinct rule. Piecewise capabilities are sometimes used to mannequin conditions the place the connection between the enter and output variables will not be linear.

For instance, contemplate the next piecewise operate:

“`
f(x) =
{
x + 1 if x < 0
x^2 if x >= 0
}
“`

This operate is outlined by two completely different guidelines: one for when x is lower than 0 and one for when x is larger than or equal to 0. The graph of this operate may have two sections: a line for x lower than 0 and a parabola for x larger than or equal to 0.

Piecewise capabilities may be graphed on Desmos utilizing the next steps:

Step	Motion
1	Enter the operate into the Desmos graph. On this instance: `f(x) = x + 1, x < 0` `f(x) = x^2, x >= 0`
2	Click on on the “Graph” button. Desmos will graph the operate and present you the completely different sections.

Listed below are some further suggestions for graphing piecewise capabilities on Desmos:

• Be sure to enter the operate accurately. Desmos is case-sensitive, so be sure to make use of the proper capitalization and punctuation.
• Use the “Area” and “Vary” sliders to regulate the viewing window. This will help you see the completely different sections of the graph extra clearly.
• Use the “Desk” device to see the values of the operate at completely different factors. This will help you confirm that the graph is appropriate.

Making a Piecewise Operate on Desmos

Piecewise capabilities are mathematical capabilities which might be outlined by completely different expressions over completely different intervals. They’re generally used to mannequin conditions the place the conduct of the operate modifications abruptly at sure factors.

To create a piecewise operate on Desmos, you need to use the next steps:

1. Open Desmos. Go to www.desmos.com and click on on the “Create” button.
2. Enter the operate. Within the operate entry subject, enter the piecewise operate utilizing the next syntax:

“`
piecewise(condition1, expression1, condition2, expression2, …, default)
“`

the place:

* `condition1` is the situation that determines when `expression1` is evaluated.
* `expression1` is the expression that’s evaluated when `condition1` is true.
* `condition2` is the situation that determines when `expression2` is evaluated.
* `expression2` is the expression that’s evaluated when `condition2` is true.
* … (optionally available) Extra situations and expressions may be added as wanted.
* `default` (optionally available) is the expression that’s evaluated when not one of the situations are true.

3. Instance: Graphing a piecewise operate with a number of situations

Let’s create a piecewise operate that’s outlined by the next expressions over completely different intervals:

“`
f(x) = {
x + 2, if x < 0
x^2, if 0 ≤ x < 2
x – 1, if x ≥ 2
}
“`

To graph this operate on Desmos, we will observe these steps:

1. Open Desmos and click on on the “Create” button.
2. Enter the operate within the operate entry subject utilizing the next syntax:

 
piecewise(x < 0, x + 2, 0 ≤ x < 2, x^2, x ≥ 2, x - 1)

3. Click on on the “Graph” button to generate the graph of the piecewise operate.

The ensuing graph will present three distinct segments, every comparable to one of many expressions within the piecewise operate.

Here’s a desk summarizing the steps for graphing a piecewise operate with a number of situations:

Step	Description
1	Open Desmos and click on on the “Create” button.
2	Enter the piecewise operate within the operate entry subject utilizing the syntax: piecewise(condition1, expression1, condition2, expression2, …, default)
3	Click on on the “Graph” button to generate the graph of the piecewise operate.

Defining Totally different Intervals for the Graph

To precisely graph a piecewise operate on Desmos, it’s essential to outline the completely different intervals over which every bit of the operate can be outlined. These intervals decide the vary of values for the impartial variable over which every bit of the operate is legitimate.

To outline intervals in Desmos, use the next syntax:

“`
area: [interval1, interval2, …]
“`

the place `interval1`, `interval2`, and so on., signify the completely different intervals over which the operate is outlined.

Intervals may be outlined utilizing:

• Open intervals: `(a, b)`
• Closed intervals: `[a, b]`
• Half-open intervals: `[a, b)` or `(a, b]`
• Infinite intervals: `(-∞, a)`, `(a, ∞)`, `(-∞, ∞)`

For instance, if you wish to outline a piecewise operate that’s outlined over three intervals, you’ll use the next syntax:

“`
area: (-∞, 0), [0, 5], (5, ∞)
“`

This means that the primary piece of the operate is outlined over the interval `(-∞, 0)`, the second piece is outlined over the interval `[0, 5]`, and the third piece is outlined over the interval `(5, ∞)`.

Choosing Appropriately Outlined Intervals for Totally different Piecewise Capabilities

When defining intervals for piecewise capabilities, you will need to select intervals which might be applicable for the operate. For instance, if the operate is outlined for all actual numbers, you then would use the interval `(-∞, ∞)`.

Nonetheless, if the operate is just outlined for a restricted vary of values, you then would wish to decide on intervals that mirror these limitations. For example, if the operate is just outlined for optimistic numbers, you then would use the interval `(0, ∞)`.

Additionally it is essential to make sure that the intervals are disjoint, which means that they don’t overlap. If the intervals overlap, then the graph of the operate is not going to be correct.

Instance: Defining Intervals for a Particular Piecewise Operate

Contemplate the next piecewise operate:

“`
f(x) = { x + 1, if x < 0
{ 0, if 0 ≤ x < 2
{ x – 1, if x ≥ 2
“`

To graph this operate on Desmos, you would wish to outline three intervals:

“`
area: (-∞, 0), [0, 2), [2, ∞)
“`

The first interval, `(-∞, 0)`, represents the values of `x` for which the first piece of the function, `x + 1`, is defined. The second interval, `[0, 2)`, represents the values of `x` for which the second piece of the function, `0`, is defined. The third interval, `[2, ∞)`, represents the values of `x` for which the third piece of the function, `x – 1`, is defined.

Interval	Piece of Function
(-∞, 0)	x + 1
[0, 2)	0
[2, ∞)	x – 1

By defining these intervals, you can accurately graph the piecewise function on Desmos.

Plotting the Function on the Graph

To plot a piecewise function on Desmos, follow these steps:

1. Navigate to the Desmos Graphing Calculator.
2. Click on the “Create” tab.
3. In the “Input” field, enter the piecewise function in the following format:
   

   Syntax	Example
   f(x) = {g(x), x < a} {h(x), x ≥ a}	f(x) = {x + 1, x < 0} {x – 1, x ≥ 0}

4. Replace “g(x)” and “h(x)” with the appropriate expressions for each piece of the function.
5. Replace “a” with the value of the breakpoint.
6. Click on the “Graph” button to plot the function.

Example

Let’s plot the following piecewise function:

f(x) = {x + 1, x < 0}
{x – 1, x ≥ 0}

To do this, we would enter the following into the Desmos Graphing Calculator:

f(x) = {x + 1, x < 0}
{x – 1, x ≥ 0}

Once we click on the “Graph” button, we would see the graph of the function plotted on the screen.

Exploring Advanced Graphing Techniques

1. Piecewise Functions on Desmos

Piecewise functions are a type of function that is defined differently for different intervals of the independent variable. In Desmos, you can define a piecewise function using the piecewise() command. The syntax for the piecewise() command is:

piecewise(condition1, expression1, condition2, expression2, ..., conditionn, expressionn)

where each condition is an equation or inequality that defines the interval for which the corresponding expression is evaluated.

2. Graphing Piecewise Functions

To graph a piecewise function in Desmos, simply follow these steps:

1. Enter the piecewise() command into the Desmos calculator.
2. Enter the conditions and expressions for each interval of the function.
3. Click the "Graph" button.

3. Advanced Graphing Techniques

In addition to the basic graphing techniques described above, Desmos also offers a number of advanced graphing techniques that can be used to create more complex graphs. These techniques include:

• Transformations: Transformations can be used to move, scale, and rotate graphs. Desmos offers a variety of transformation commands, including translate(), scale(), and rotate().
• Polar Coordinates: Polar coordinates can be used to graph functions that are defined in terms of angles and distances. Desmos offers a polar() command that can be used to convert rectangular coordinates to polar coordinates.
• Implicit Functions: Implicit functions are equations that define a curve without explicitly solving for the dependent variable. Desmos offers an implicit() command that can be used to graph implicit functions.
• Parametric Equations: Parametric equations are equations that define a curve by specifying the coordinates of each point as a function of a parameter. Desmos offers a parametric() command that can be used to graph parametric equations.
• Inequalities: Inequalities can be used to shade regions of a graph. Desmos offers a shade() command that can be used to shade regions defined by inequalities.

4. Creating Custom Graphs

In addition to graphing standard functions, Desmos also allows you to create custom graphs. To create a custom graph, simply follow these steps:

1. Click the "Custom Graph" button.
2. Enter the equation for your graph.
3. Click the "Graph" button.

5. Saving and Sharing Graphs

Once you have created a graph, you can save it or share it with others. To save a graph, click the "Save" button. To share a graph, click the "Share" button.

6. Using Desmos in the Classroom

Desmos is a powerful tool that can be used to teach and learn mathematics. Desmos offers a variety of features that make it ideal for use in the classroom, including:

• Interactive graphs: Desmos graphs are interactive, which allows students to explore mathematical concepts in a more hands-on way.
• Real-time feedback: Desmos provides real-time feedback, which helps students to identify and correct errors as they work.
• Collaboration tools: Desmos offers collaboration tools that allow students to work together on graphs and share their findings.

7. Desmos Resources

There are a number of resources available to help you learn more about Desmos. These resources include:

• Desmos Help Center: The Desmos Help Center provides a variety of documentation and tutorials on how to use Desmos.
• Desmos Blog: The Desmos Blog features articles on new features, tips and tricks, and lesson plans.
• Desmos Forum: The Desmos Forum is a community where users can ask questions and share ideas.

8. Advanced Graphing Techniques: Beyond the Basics

While the basic graphing techniques described above are sufficient for most purposes, there are a number of advanced graphing techniques that can be used to create more complex and informative graphs. These techniques include:

Using Tables and Lists: Tables and lists can be used to plot data points and create graphs. This can be useful for visualizing data or creating custom graphs.

Working with Multiple Functions: Desmos allows you to graph multiple functions on the same set of axes. This can be useful for comparing functions or solving systems of equations.

Using Graphing Themes: Desmos offers a variety of graphing themes that can be used to customize the appearance of your graphs. This can be useful for making your graphs more readable or visually appealing.

Creating Custom Legends: Desmos allows you to create custom legends for your graphs. This can be useful for identifying different functions or data sets.

Exporting Graphs: Desmos allows you to export your graphs in a variety of formats, including PNG, SVG, and PDF. This can be useful for sharing your graphs with others or using them in presentations.

By mastering these advanced graphing techniques, you can create more complex and informative graphs that will help you to better understand and communicate mathematical concepts.

Graphing Piecewise Exponential Functions

Piecewise exponential functions are a type of function that has different equations for different intervals of the input. These functions are often used to model situations where the rate of change changes at a certain point. For example, a piecewise exponential function could be used to model the population of a city that grows at a different rate before and after a certain year.

To graph a piecewise exponential function on Desmos, you can use the following steps:

1. Enter the equation for the first interval of the function into the Desmos equation editor.
2. Click on the “Add Function” button to add a second function.
3. Enter the equation for the second interval of the function into the equation editor.
4. Click on the “Add Function” button to add a third function.
5. Continue adding functions for each interval of the piecewise function.
6. Once you have entered all of the functions, click on the “Graph” button.

Example

Consider the following piecewise exponential function:

Interval	Equation
x ≤ 0	y = 2x
x > 0	y = 3x

To graph this function on Desmos, you can enter the following equations into the equation editor:

• y = 2^x
• y = 3^x

Once you have entered both equations, click on the “Graph” button. The graph of the piecewise exponential function will be displayed.

Additional Notes

Here are some additional notes about graphing piecewise exponential functions on Desmos:

• You can use the “Domain” and “Range” options in the “Graph Settings” menu to restrict the domain and range of the graph.
• You can use the “Color” option in the “Graph Settings” menu to change the color of the graph.
• You can use the “Legend” option in the “Graph Settings” menu to add a legend to the graph.

Graphing Piecewise Inverse Trigonometric Functions

Inverse trigonometric functions, also known as arcus functions, can be graphed piecewise using Desmos. These functions are defined as follows:

• arcsin(x) = y if sin(y) = x for -1 ≤ x ≤ 1 and -π/2 ≤ y ≤ π/2
• arccos(x) = y if cos(y) = x for -1 ≤ x ≤ 1 and 0 ≤ y ≤ π
• arctan(x) = y if tan(y) = x for all real numbers x and -π/2 < y < π/2

To graph an inverse trigonometric function on Desmos, follow these steps:

1. Open Desmos at desmos.com.
2. Click on the “Graph” tab.
3. In the input field, type the inverse trigonometric function you want to graph. For example, to graph arcsin(x), type “arcsin(x)”.
4. Click on the “Enter” key.
5. The graph of the inverse trigonometric function will be displayed.

Here are some examples of graphs of inverse trigonometric functions:

• arcsin(x):
• arccos(x):
• arctan(x):

Graphing Piecewise Inverse Trigonometric Functions

Inverse trigonometric functions can also be graphed piecewise. For example, to graph the function,

“`
f(x) = {
arcsin(x), if x ≥ 0
-arcsin(x), if x < 0
}
“`

follow these steps:

1. Open Desmos at desmos.com.
2. Click on the “Graph” tab.
3. In the input field, type the following function:
“`
f(x) = {
arcsin(x), if x ≥ 0
-arcsin(x), if x < 0
}
“`
4. Click on the “Enter” key.
5. The graph of the piecewise inverse trigonometric function will be displayed.

Here is an example of a graph of a piecewise inverse trigonometric function:



Table of Inverse Trigonometric Functions

Here is a table总结summary of inverse trigonometric functions:

Function	Domain	Range	Graph
arcsin(x)	[-1, 1]	[-π/2, π/2]
arccos(x)	[-1, 1]	[0, π]
arctan(x)	All actual numbers	[-π/2, π/2]

Graphing Piecewise Mixtures

Combining Totally different Piecewise Definitions

In lots of circumstances, we have to graph piecewise capabilities that encompass a number of completely different definitions. For instance, a operate might have one definition for x < 0, one other definition for 0 ≤ x < 2, and a 3rd definition for x ≥ 2.

To graph such a operate in Desmos, we will use the next steps:

1. Outline the primary piece of the operate utilizing the `piece()` operate. For instance:

“`
f1(x) = piece(x < 0, x^2)
“`

2. Outline the second piece of the operate utilizing the `piece()` operate. For instance:

“`
f2(x) = piece(0 ≤ x < 2, x + 1)
“`

3. Outline the third piece of the operate utilizing the `piece()` operate. For instance:

“`
f3(x) = piece(x ≥ 2, 2x – 3)
“`

4. Mix the three items of the operate utilizing the `if()` operate. For instance:

“`
f(x) = if(x < 0, f1(x), if(0 ≤ x < 2, f2(x), f3(x)))
“`

This can create a piecewise operate that has the definition of `f1(x)` for x < 0, the definition of `f2(x)` for 0 ≤ x < 2, and the definition of `f3(x)` for x ≥ 2.

Instance: Graphing a Operate with Three Items

Let’s graph the piecewise operate outlined by:

“`
f(x) = {
x^2, if x < 0
x + 1, if 0 ≤ x < 2
2x – 3, if x ≥ 2
}
“`

To graph this operate in Desmos, we will use the next steps:

1. Outline the primary piece of the operate:

“`
f1(x) = piece(x < 0, x^2)
“`

2. Outline the second piece of the operate:

“`
f2(x) = piece(0 ≤ x < 2, x + 1)
“`

3. Outline the third piece of the operate:

“`
f3(x) = piece(x ≥ 2, 2x – 3)
“`

4. Mix the three items of the operate:

“`
f(x) = if(x < 0, f1(x), if(0 ≤ x < 2, f2(x), f3(x)))
“`

5. Graph the operate in Desmos:

“`
y = if(x < 0, x^2, if(0 ≤ x < 2, x + 1, 2x – 3))
“`

The graph of the operate is proven beneath.

[Image of the graph of the function f(x) = {x^2, if x < 0; x + 1, if 0 ≤ x < 2; 2x – 3, if x ≥ 2}]

Desk of Equival

27. The graph will not be steady.

This may occur for a number of causes. First, verify to be sure that your equations are all outlined on the similar factors. If they don’t seem to be, you’ll need so as to add parentheses to your equations to be sure that they’re all evaluated within the appropriate order. For instance, the equation

y = |x| + 1

will not be steady at x = 0 as a result of absolutely the worth operate will not be outlined at 0. To repair this, we will add parentheses to the equation to make it

y = (|x|) + 1

which is now steady at x = 0.

One more reason why the graph will not be steady is when you’ve got not outlined the operate in any respect factors. For instance, the equation

y = x^2

will not be outlined at x = 0. To repair this, we will add a line to the equation to outline the operate at x = 0, corresponding to

y = x^2 + 0

which is now steady at x = 0.

Lastly, the graph will not be steady when you’ve got made a mistake in your equation. For instance, the equation

y = |x| + 1

will not be the identical because the equation

y = |x| – 1

and the 2 equations will produce completely different graphs. Just remember to have entered the proper equation into Desmos.

In case you are nonetheless having bother getting the graph to be steady, you may attempt utilizing the “Piecewise” operate in Desmos. This operate lets you outline completely different equations for various intervals of the x-axis. For instance, the equation

y = Piecewise(x ≤ 0, -x, x > 0, x)

defines the operate as -x for x ≤ 0 and x for x > 0. This operate is steady at x = 0 as a result of the 2 equations have the identical worth at that time.

Here’s a desk summarizing the completely different causes of a discontinuous graph and how you can repair them:

Trigger	Repair
Equations usually are not outlined on the similar factors	Add parentheses to equations to make sure appropriate order of analysis
Operate will not be outlined in any respect factors	Add traces to equations to outline operate in any respect factors
Mistake in equation	Test equation for errors and proper errors
Use of “Piecewise” operate	Outline completely different equations for various intervals of the x-axis

Optimizing Graph Efficiency

To make sure optimum efficiency when graphing piecewise capabilities on Desmos, contemplate the next suggestions:

• Simplify the equations. Earlier than plugging your piecewise capabilities into Desmos, simplify the equations as a lot as potential. This can scale back the variety of calculations that Desmos must carry out, enhancing the graphing velocity.
• Use brackets. When defining the completely different items of your piecewise operate, all the time use brackets to group the phrases. This helps Desmos accurately interpret the operate’s conduct on completely different intervals.
• Keep away from nested piecewise capabilities. Whereas Desmos can deal with nested piecewise capabilities, they are often computationally costly. If potential, attempt to simplify your piecewise operate right into a single expression with out nested piecewise capabilities.
• Use the “optimize” command. Desmos gives an “optimize” command that may try to simplify your piecewise operate and enhance its graphing efficiency. To make use of this command, kind “optimize()” after your piecewise operate.
• Break down advanced piecewise capabilities. In case your piecewise operate is especially advanced, attempt breaking it down into smaller items. Graph every bit individually after which mix the graphs utilizing the “mix” command.
• Cut back the variety of factors. In case your graph is simply too sluggish to load, attempt lowering the variety of factors that Desmos makes use of to generate the graph. You are able to do this by adjusting the “pattern price” setting within the graph’s properties panel.
• Use the “cache” command. In case you are graphing the identical piecewise operate a number of instances, think about using the “cache” command to retailer the graph in Desmos’s cache. This can stop Desmos from having to recalculate the graph every time, enhancing the efficiency.

How To Graph Piecewise Capabilities On Desmos

Piecewise capabilities are capabilities which might be outlined by completely different expressions over completely different intervals of the enter. They are often graphed on Desmos utilizing the “outline” operate. For instance, the next piecewise operate is outlined for x < 0, x = 0, and x > 0:

“`
f(x) = { x + 1, if x < 0; 0, if x = 0; x – 1, if x > 0 }
“`

To graph this operate on Desmos, you’ll enter the next into the enter subject:

“`
f(x) = outline(
if(x < 0, x + 1,
if(x = 0, 0,
x – 1
)
)
)
“`

This can produce a graph of the piecewise operate. The graph may have three segments: one for every of the three intervals of the enter.

Individuals Additionally Ask About

What’s a piecewise operate?

A piecewise operate is a operate that’s outlined by completely different expressions over completely different intervals of the enter.

How do I graph a piecewise operate on Desmos?

To graph a piecewise operate on Desmos, you utilize the “outline” operate. You could find extra details about graphing piecewise capabilities on Desmos within the article above.

What are the several types of piecewise capabilities?

There are various several types of piecewise capabilities. Some widespread sorts embody:

• Linear piecewise capabilities
• Quadratic piecewise capabilities
• Exponential piecewise capabilities
• Logarithmic piecewise capabilities
• Trigonometric piecewise capabilities