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1.03 Absolute value functions

Adaptive
Worksheet

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
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
Easy
< 1min

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

Easy
2min

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

Easy
2min

Consider the graph of the function below:

Easy
< 1min
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Outcomes

A2.F.IF.B.4

Graph functions expressed algebraically and show key features of the graph by hand and using technology.*

A2.F.BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

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