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Date May 2017 Marks available 2 Reference code 17M.1.hl.TZ2.2
Level HL only Paper 1 Time zone TZ2
Command term Find Question number 2 Adapted from N/A

Question

The function f is defined by f(x)=2x3+5, 2.

Write down the range of f.

[2]
a.

Find an expression for {f^{ - 1}}(x).

[2]
b.

Write down the domain and range of {f^{ - 1}}.

[2]
c.

Markscheme

- 11 \leqslant f(x) \leqslant 21     A1A1

 

Note:     A1 for correct end points, A1 for correct inequalities.

 

[2 marks]

a.

{f^{ - 1}}(x) = \sqrt[3]{{\frac{{x - 5}}{2}}}     (M1)A1

[2 marks]

b.

- 11 \leqslant x \leqslant 21,{\text{ }} - 2 \leqslant {f^{ - 1}}(x) \leqslant 2     A1A1

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 2 - Core: Functions and equations » 2.1
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