topic badge

3.03 Cubic functions

Interactive practice questions

By considering the graph of $y=x^3$y=x3, determine the following:

Loading Graph...

a

As $x$x becomes larger in the positive direction (ie $x$x approaches infinity), what happens to the corresponding $y$y-values?

they approach zero

A

they become very large in the positive direction

B

they become very large in the negative direction

C
b

As $x$x becomes larger in the negative direction (ie $x$x approaches negative infinity), what happens to the corresponding $y$y-values?

they become very large in the positive direction

A

they approach zero

B

they become very large in the negative direction

C
Easy
< 1min

Does the graphed function have an even or odd power?

Easy
< 1min

Consider the graph of the function $y=x^3$y=x3.

Fill in the gaps to complete the statement.

Easy
< 1min

Consider the cubic function $y=-x^3$y=x3

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

What is Mathspace

About Mathspace