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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

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. '''Include rational, square root and cube root; emphasize selection of appropriate models.

F-IF.5'''

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. '''Include rational, square root and cube root; emphasize selection of appropriate models.

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. '''Include rational and radical; Focus on using key features to guide selection of appropriate type of model function

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