Page 10 - ACE YR IGCSE A TOP APPR' TO ADD MATH

(d) A function y is defined by g(x) = |3x − 4| − 2, for −2 < x < 4.
Write down a suitable domain for g for which g has an inverse.
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15. The function f is defined by f(x) = |x − 10x + 9| for the domain 0 < x < 10.
2
(a) Sketch the graph of y = f(x).
Show the coordinates of the points where the graph meets the coordinate axes.

y

x

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(b) Find the range of f.

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(c) The function g is defined by g(x) = |x − 10x + 9| for the domain 3 < x < k.
2
Determine the value of k for which g (x) exists.
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Chapter 1 Functions 7

Chapter 1 Add Math (1 to 12).indd 7 14/03/2022 12:16 PM