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5.07 Linear 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 $y=\left|3x\right|$y=|3x|.

Easy
1min

Consider the function $y=\left|x-1\right|$y=|x1|.

Easy
1min

Consider the function $y=\left|x\right|+4$y=|x|+4.

Easy
1min
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Outcomes

M1.N.Q.A.1

Use units as a way to understand real-world problems.*

M1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

M1.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.*

M1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

M1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

M1.F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.*

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

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