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4.06 Graphs and characteristics of cube root functions

Interactive practice questions

Consider the function $y=\sqrt[3]{x}$y=3x.

a

Complete the table of values.

Round any values to two decimal places if necessary.

$x$x $-100$100 $-10$10 $-8$8 $-3$3 $-1$1 $0$0 $1$1 $3$3 $8$8 $10$10 $100$100
$y$y $\editable{}$ $-2.15$2.15 $\editable{}$ $\editable{}$ $-1$1 $0$0 $\editable{}$ $\editable{}$ $2$2 $2.15$2.15 $4.64$4.64
b

Which of the following is the graph of $y=\sqrt[3]{x}$y=3x?

Loading Graph...

A

Loading Graph...

B

Loading Graph...

C

Loading Graph...

D
c

Is $y=\sqrt[3]{x}$y=3x an increasing function or a decreasing function?

Increasing

A

Decreasing

B
Easy
4min

Consider the function $y=\sqrt[3]{x}$y=3x.

Easy
< 1min

Consider the function $y=\sqrt[3]{x}$y=3x.

Easy
1min

Consider the given graph of $y=\sqrt[3]{x}$y=3x.

Easy
< 1min
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Outcomes

MGSE9-12.F.IF.7

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

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