topic badge
AustraliaVIC
VCE 11 Methods 2023

3.05 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

Consider the cubic function $y=-x^3+5$y=x3+5.

Easy
2min

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

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

Outcomes

U1.AoS1.2

qualitative interpretation of features of graphs of functions, including those of real data not explicitly represented by a rule, with approximate location of any intercepts, stationary points and points of inflection

U1.AoS1.4

graphs of polynomial functions of low degree, and interpretation of key features of these graphs.

U1.AoS1.10

sketch by hand graphs of linear, quadratic and cubic polynomial functions, and quartic polynomial functions in factored form (approximate location of stationary points only for cubic and quartic functions), including cases where an x-axis intercept is a touch point or a stationary point of inflection

U1.AoS1.12

draw graphs of polynomial functions of low degree, simple power functions and simple relations that are not functions

What is Mathspace

About Mathspace