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Date May Specimen Marks available 2 Reference code SPM.1.sl.TZ0.5
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 5 Adapted from N/A

Question

Consider the graph of the function \(y = f(x)\) defined below.

Write down all the labelled points on the curve

that are local maximum points;

[1]
a.

where the function attains its least value;

[1]
b.

where the function attains its greatest value;

[1]
c.

where the gradient of the tangent to the curve is positive;

[1]
d.

where \(f(x) > 0\) and \(f'(x) < 0\) .

[2]
e.

Markscheme

B, F     (C1)

a.

H     (C1)

b.

F     (C1)

c.

A, E     (C1)

d.

C     (C2)

e.

Examiners report

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

Syllabus sections

Topic 7 - Introduction to differential calculus » 7.4 » Increasing and decreasing functions.
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