Exam-style Questions: Graphs

  1. The graphs of eight functions are sketched below.

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    Which graph could represent

    a) y = 5 - 3x

    b) y = 12/x

    c) y = 2x3

    (Marks available: 3)

    Answer

    Answer outline and marking scheme for question: 1

    a) 8

    b) 2

    c) 6

    (Marks available: 3)

  2. The graph shows the speed of a car in kilometres per hour (km/h).

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    a) What is the speed of the car after 10 seconds?

    (1 mark)

    b) After 30 seconds, the car travels at a steady speed of 60 km/h for 1 minute. Continue the graph by drawing a line AB to show this.

    (1 mark)

    c) Draw a straight line from B to the point C (110,0).

    (1 mark)

    d) What does the graph between B and C tell you about what the car is doing?

    (1 mark)

    (Marks available: 4)

    Answer

    Answer outline and marking scheme for question: 2

    a) 20km/h

    b) Horizontal straight line, ending at (90,60).

    c) Straight line from (90,60) to (110,0)

    d) 'Slowing down' or 'stopping'

    (Marks available: 4)