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9.03 Properties of graphs

Interactive practice questions

Which of the following describes a minimum turning point?

A point where the tangent is horizontal and the concavity changes from upwards to downwards or from downwards to upwards around the point.

A

A point where the curve changes from decreasing to increasing.

B

A point where the curve changes from increasing to decreasing.

C

A point where the tangent crosses the curve and the concavity changes from upwards to downwards or from downwards to upwards around the point.

D
Easy
< 1min

Which of the following describes a horizontal point of inflection?

Easy
< 1min

Which of the following describes a maximum turning point?

Easy
< 1min

Consider the function $y=4x-3$y=4x3.

Easy
1min
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Outcomes

2.4.3.4

sketch curves associated with polynomials up to and including degree 4; find stationary points and local and global maxima and minima with and without technology; and examine behaviour as 𝑥→∞ and 𝑥→−∞

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