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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).

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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
Easy
2min

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

Easy
1min

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

Easy
1min

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

Easy
1min
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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

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