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AustraliaVIC
VCE 11 Methods 2023

1.05 Features of linear functions

Interactive practice questions

Consider the following.

a

Which of the following is the graph of a linear relationship?

Loading Graph...

A

Loading Graph...

B

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C
b

What makes that graph linear, but not the other two?

In a linear relationship, the $y$y value is always increasing.

A

In a linear relationship, the $y$y value changes at a constant rate.

B

In a linear relationship, the $y$y value changes at a faster and faster rate.

C
Easy
< 1min

Consider the values in each table. Which of them could represent a directly proportional relationship between $x$x and $y$y?

Easy
< 1min

The diagram shows the graph of a straight line with positive gradient.

Which of the following statements are true of this graph? Select all the correct options.

Easy
1min

A straight line graph has a positive $y$y-intercept and a positive $x$x-intercept. Which of the following must also be true of the straight line graph?

Easy
< 1min
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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.AoS1.10

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

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