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4.09 Linear absolute value functions

Adaptive
Worksheet

Interactive practice questions

Which of the following options describes a method for sketching a graph of $y=\left|f\left(x\right)\right|$y=|f(x)|, supposing we already have a graph of $y=f\left(x\right)$y=f(x)?

Reflect the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis.

A

Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis where $f\left(x\right)<0$f(x)<0.

B

Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $y$y-axis where $x<0$x<0.

C

Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis where $f\left(x\right)>0$f(x)>0.

D
Easy
< 1min

Consider the graph of $y=f\left(x\right)$y=f(x) below.

Easy
1min

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

Easy
< 1min

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

Easy
1min
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Outcomes

MA.912.AR.4.3

Given a table, equation or written description of an absolute value function, graph that function and determine its key features.

MA.912.F.1.2

Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.

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