topic badge

2.06 Graphs of cubics

Interactive practice questions

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

a

Complete the following table of values.

$x$x $-2$2 $-1$1 $0$0 $1$1 $2$2
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Plot the points in the table of values. (Note: Do not plot the curve yet).

Loading Graph...
c

Hence plot the curve.

Loading Graph...
Easy
2min

Consider the cubic function $y=x^3-2$y=x32.

Easy
2min

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

Easy
< 1min

Consider the given graph of a cubic function.

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

1.2.4.3

recognise and determine features of the graphs of 𝑦=𝑥^3,𝑦=𝑎(𝑥−𝑏)^3+𝑐 and 𝑦=𝑘(𝑥−𝑎)(𝑥−𝑏)(𝑥−𝑐), including shape, intercepts and behaviour as 𝑥→∞ and 𝑥→−∞

What is Mathspace

About Mathspace