New Zealand
Level 7 - NCEA Level 2

# Identify Characteristics of Cubic Functions

## Interactive practice questions

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

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

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

they become very large in the positive direction

A

they approach zero

B

they become very large in the negative direction

C
Easy
Less than a minute

Does the graphed function have an even or odd power?

Does the graphed function have an even or odd power?

Consider the given graph of a cubic function.

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems