Assgt #6

Explore how different segments of a piecewise function define its domain and range.

[b]The piecewise function has a domain of (-5,4].[br][br][b]The piecewise function has a range of [0,3).[/b][/b]

Before we dive into piecewise functions, let's first review our definitions first.

We can find the [b][i]domain[/i][/b] of a function by using which axis?

x-axis y-axis

We can find the [b][i]range[/i][/b] of a function by using which axis?

y-axis x-axis

Next, let's review how we can find the domain and range of a function.

How should one go about solving for the [b][i]domain[/i][/b] of a function?

How should one go about solving for the [b][i]range[/i][/b] of a function?

Then, let's review our brackets and parentheses.

What type of inequality does [b](x, y)[/b] indicate?

What type of inequality does [b][x, y][/b] indicate?

Now that we reviewed how to best utilize our terms and definitions, let's solve for the domain and range of the following piecewise function.

What is the [b]domain[/b] of this function?

What is the [b]range[/b] of this function?

Putting It All Together

[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]

Let's try another!

What is the [b]domain[/b] of this function?

What is the [b]range[/b] of this function?

Now its your turn to create the piecewise function!

First, create a function where... [b]y = x - 3 {-1 < x < 0}[/b][br]Next, create a function where... [b]y = 2x - 2 {0 [/b][b]≤[/b][b] x < 2}[/b]

Please press the refresh button in the top right corner of the graph, then press on the points to change its position and/or symbol based off the piecewise function listed above.

What is the [b]domain[/b] of this function?

What is the [b]range[/b] of this function?

Let's try one more!

First, create a function where... [b]y = -x - 4 {-5 [/b][b]≤[/b][b] x [/b][b]≤[/b][b] 0}[/b][br]Next, create a function where... [b]y = 5x + 1 {0 [/b][b]<[/b][b] x[/b][b] ≤[/b][b] 1}[/b]

Please press the refresh button in the top right corner of the graph, then press on the points to change its position and/or symbol based off the piecewise function listed above.

What is the [b]domain[/b] of this function?

What is the [b]range[/b] of this function?

Exit Ticket

In a graph of a piecewise function, some endpoints may be open and others closed. [br][b]How is this reflected in the notation for the domain and range of a function?[br][/b]

What key features of a piecewise function graph would you use to state the [b]domain[/b] of the function? The range?

What key features of a piecewise function graph would you use to state the [b]range[/b] of the function? The range?

Assgt #6

Before we dive into piecewise functions, let's first review our definitions first.

Next, let's review how we can find the domain and range of a function.

Then, let's review our brackets and parentheses.

Now that we reviewed how to best utilize our terms and definitions, let's solve for the domain and range of the following piecewise function.

Putting It All Together

Let's try another!

Now its your turn to create the piecewise function!

Please press the refresh button in the top right corner of the graph, then press on the points to change its position and/or symbol based off the piecewise function listed above.

Let's try one more!

Please press the refresh button in the top right corner of the graph, then press on the points to change its position and/or symbol based off the piecewise function listed above.

Exit Ticket

Information: Assgt #6