New Zealand
Level 7 - NCEA Level 2

# Identify Characteristics of Absolute Value Functions II

## Interactive practice questions

Consider the function $f\left(x\right)=\left|x\right|$f(x)=|x| that has been graphed. Notice that it opens upwards.

a

What is the gradient of the function for $x>0$x>0?

b

What is the gradient of the function for $x<0$x<0?

c

The graph below shows the graph of $y$y that results from reflecting $f\left(x\right)$f(x) about the $x$x-axis. State the equation of $y$y.

d

Select all the correct statements.

A downward absolute value function goes from decreasing to increasing.

A

An upward absolute value function goes from decreasing to increasing.

B

An upward absolute value function goes from increasing to decreasing.

C

A downward absolute value function goes from increasing to decreasing.

D

A downward absolute value function goes from decreasing to increasing.

A

An upward absolute value function goes from decreasing to increasing.

B

An upward absolute value function goes from increasing to decreasing.

C

A downward absolute value function goes from increasing to decreasing.

D
Easy
Approx 3 minutes

Consider the graph of function $f\left(x\right)$f(x).

Consider the graph of the function $f\left(x\right)$f(x).

Consider the graph of the function $f\left(x\right)$f(x).

### 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