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iGCSE (2021 Edition)

17.06 Cubic functions (Extended)

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

0607C3.6

Use of a graphic display calculator to: sketch the graph of a function, produce a table of values, find zeros, local maxima or minima, find the intersection of the graphs of functions.

0607E3.2C

Recognition of cubic, f(x)=ax^3 +bx^2 +cx+d, function types from the shape of their graphs.

0607E3.3

Determination of the value of at most two of a, b, c or d in simple linear, quadratic, cubic, reciprocal, exponential, absolute value and trignometric functions.

0607E3.6

Use of a graphic display calculator to: sketch the graph of a function produce a table of values, find zeros, local maxima or minima, find the intersection of the graphs of functions.

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