Domain & Range

Domain & Range

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Multiple Choice

Which is my Domain?

• all inputs (x values)

• all outputs (y or f(x) values)

• all z values

Multiple Choice

Which is my Range?

• all inputs (x values)

• all outputs (y or f(x) values)

• all z values

Multiple Choice

 $\infty$  What is this symbol?

• variable

• infinite

• eight

• equation sign

Multiple Select

What is the domain & range for this graph?

• Domain: [- $\infty$  , $\infty$ )

• Domain: (-3, 2)

• Range: (0, 100)

• Range: [-5, 4]

Multiple Select

What is the domain & range for this graph?

• Domain: [- $\infty$  , $\infty$ )

• Domain: [-3 , 2]

• Range: (0, 100)

• Range: [-3, 4]

Multiple Select

What is the domain & range for this graph?

• Domain: [-2 ,4]

• Domain: [-3 , 2]

• Range: [2, 6]

• Range: [1, 3]

Multiple Select

What is the domain & range for this graph?

• Domain: (-2 ,3]

• Domain: [-8 , 2]

• Range: [-2, 3]

• Range: (-1, 3]

• Domain: [-10, 5]

Multiple Select

What is the domain & range for this graph?

• Domain: [Mon, Fri]

• Domain: [Tues, Wed]

• Range:[1, 10]

• Range: [0, 9]

Multiple Select

What is the domain & range for this graph?

• Domain: [0, 5]

• Domain: [1, 4]

• Range: [3, 15]

• Range: [0, 15]

Multiple Select

What is the domain & range for this graph?

• Domain: [2005, 2008]

• Domain: [2003, 2000]

• Range: [400, 150]

• Range: [100, 400]

Endpoints

This graph doesn't include the 1st endpoint (hence the hole).

It includes it's 2nd endpoint (filled in).

This graph:

Domain: (-3, 1]

Range: [-4, 0]

Infinite Graphs

Review

Multiple Select

What is the domain & range for this graph?

• Domain: [-4, $\infty$ )

• Domain: [-4, 4)

• Range: (0, 100)

• Range: [0,  $\infty$ )

Multiple Choice

Which of these includes my endpoints?

• [-2.5, 3]

• (-2.5, 3)

Multiple Choice

Which of these DOES NOT include my endpoints?

• [-1, 4]

• (-1, 4)

Multiple Select

What is the Domain & Range of the function?

• Domain: (-3, 2)

• Domain: [-3, 2)

• Range: (-5, 4)

• Range: [-5, 4]

Multiple Select

What is the Domain & Range of the function?

• Domain: [-3, 1)

• Domain: (-3, 1]

• Range: (-5, 4)

• Range: [-4, 0]

Multiple Select

What is the Domain & Range of the function?

• Domain: (- $\infty$ , $\infty$ )

• Domain: (- $\infty$ , $\infty$ ]

• Range: (-5, 4)

• Range: (- $\infty$ , $\infty$ )

All Real Numbers

What if a graph's domain and range are infinite?

We can say that they include "All Real Numbers".

This is abbreviated with the symbol to the right.

Linear Function

A line graph:

Domain: "All Real #'s"

Range: "All Real #'s"

Multiple Choice

What is another way of saying (- $\infty$  ,  $\infty$  )? 

• All infinities 

• All real #'s: R

• All fake #'s

Multiple Select

What is the domain & range of this function?

• Domain: All Real #'s

• Domain: [0, $\infty$ )

• Range: [1, $\infty$ )

• Range: All Real #'s

Multiple Select

What is the domain & range of this function?

• Domain: All Real #'s

• Domain: [0, $\infty$ )

• Range: [1, $\infty$ )

• Range: All Real #'s