The function f has domain 5 x 7 and is linear from (5, 6) to (3, 2)

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The function f has domain −5 x 7 and is linear from (−5, 6) to (−3, −2) and from (−3, −2) to (7, 18). The diagram shows a sketch of the function.

a. Write down the range of f.

b. Find ff(−3).

c. Sketch the graph of y = |f(x)|, marking the points at which the graph meets or cuts the axes.  The function g is defined by g: x ↦ x2 − 7x + 20.

d. Solve the equation fg(x) = 3.image

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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