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10.03 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

ACMMM095

sketch curves associated with simple polynomials; find stationary points, and local and global maxima and minima; and examine behaviour as x→∞ and x→−∞

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