New Zealand
Level 7 - NCEA Level 2

# Domain and Range of Absolute Value Functions I

## Interactive practice questions

Consider the function $y=\left|x\right|$y=|x|.

a

What values of $x$x can be substituted into the given function?

Any value of $x$x.

A

Only positive values of $x$x.

B

Only non-negative values of $x$x.

C

Only negative values of $x$x.

D

Any value of $x$x.

A

Only positive values of $x$x.

B

Only non-negative values of $x$x.

C

Only negative values of $x$x.

D
b

What values of $y$y could the function have?

Only non-negative values of $y$y.

A

Only positive values of $y$y.

B

Only negative values of $y$y.

C

Any value of $y$y.

D

Only non-negative values of $y$y.

A

Only positive values of $y$y.

B

Only negative values of $y$y.

C

Any value of $y$y.

D
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Consider the function $y=\left|x-3\right|$y=|x3|.

Consider the function $y=\left|x+5\right|$y=|x+5|.

Consider the function that has been graphed.

### 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