NZ Level 7 (NZC) Level 2 (NCEA)
Domain and Range of Absolute Value Functions II

## Interactive practice questions

Consider the function that has been graphed.

a

What is the domain of the function?

all real $x$x

A

$x<3$x<3

B

$x\ge0$x0

C

$x>0$x>0

D

all real $x$x

A

$x<3$x<3

B

$x\ge0$x0

C

$x>0$x>0

D
b

What is the range of the function? Give your answer as an inequality.

Easy
Approx a minute

What is the domain of the function $f\left(x\right)=\left|6-x\right|$f(x)=|6x|?

What is the range of the function $f\left(x\right)=\left|4-x\right|$f(x)=|4x|?

Consider the function defined as $y=\left|4x+12\right|$y=|4x+12|.

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems