topic badge

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A2.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. Include problem-solving opportunities utilizing a real-world context. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Functions include linear, quadratic, exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root and piecewise-defined functions.

A2.F-IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Functions include linear, quadratic, exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root and piecewise-defined functions.

What is Mathspace

About Mathspace