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2.08 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).

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c

Hence plot the curve.

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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
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Outcomes

1.1.18

recognise 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→−∞

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