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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

III.F.IF.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. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity

III.F.IF.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes

III.F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

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