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AustraliaVIC
VCE 11 Methods 2023

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

U2.AoS3.5

applications of differentiation, including finding instantaneous rates of change, stationary values of functions, local maxima or minima, points of inflection, analysing graphs of functions including motion graphs, and solving maximum and minimum problems with consideration of modelling domain and local and global maxima and minima

U2.AoS3.9

the sign of the gradient at and near a point and its interpretation in terms of key features of a graph of simple polynomial functions

U2.AoS3.14

use derivatives to assist in the sketching of graphs of simple polynomial functions and to solve simple maximum and minimum optimisation problems

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