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5.04 Piecewise functions

Adaptive
Worksheet

Interactive practice questions

Use the graph of $g$g to solve the following:

Loading Graph...

a

Find $g\left(-4\right)$g(4).

b

Find $g\left(2\right)$g(2).

c

Find $g\left(-10\right)$g(10).

d

Find $x$x when $g\left(x\right)=-1$g(x)=1.

Easy
1min

Use the graph of $g$g to solve the following:

Easy
2min

The function $f\left(x\right)$f(x) is defined as:

Easy
1min

The function $f\left(x\right)$f(x) is defined as:

$f\left(x\right)$f(x) $=$= $1$1 when $x<0$x<0
$x+1$x+1 when $x>0$x>0
Easy
< 1min
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Outcomes

M2.F.IF.B.3

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.*

M2.F.IF.C.6

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

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP4

Model with mathematics.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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