New Zealand
Level 7 - NCEA Level 2

# Identify Characteristics of Absolute Value Functions I

## Interactive practice questions

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

a

State the coordinate of the vertex.

b

State the equation of the line of symmetry.

c

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

d

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

e

Hence, which of the following statements is true?

The graph of $f\left(x\right)$f(x) is steeper than the graph of $y=\left|x\right|$y=|x|.

A

The graph of $f\left(x\right)$f(x) is not as steep as the graph of $y=\left|x\right|$y=|x|.

B

The graph of $f\left(x\right)$f(x) has the same steepness as the graph of $y=\left|x\right|$y=|x|.

C

The graph of $f\left(x\right)$f(x) is steeper than the graph of $y=\left|x\right|$y=|x|.

A

The graph of $f\left(x\right)$f(x) is not as steep as the graph of $y=\left|x\right|$y=|x|.

B

The graph of $f\left(x\right)$f(x) has the same steepness as the graph of $y=\left|x\right|$y=|x|.

C
Easy
Approx 2 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 of 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