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Date May Specimen Marks available 1 Reference code SPM.1.sl.TZ0.7
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 7 Adapted from N/A

Question

On the grid below sketch the graph of the function f(x)=2(1.6)x for the domain 0 .

[2]
a.

Write down the coordinates of the y-intercept of the graph of y = f(x) .

[1]
b.

On the grid draw the graph of the function g(x) = 5 - 2x for the domain 0 \leqslant x \leqslant 3.

[2]
c.

Use your graphic display calculator to solve f(x) = g(x) .

[1]
d.

Markscheme

Note: Award (A1) correct endpoints, (A1) for smooth curve.     (A1)(A1)     (C2)

a.

(0{\text{, }}2)     (A1)     (C1)

 

Note: Accept x = 0, y = 2

b.

Straight line in the given domain     (A1)
Axes intercepts in the correct positions     (A1)     (C2)

c.

x = 0.943 (0.94259 \ldots )     (A1)     (C1)

 

Note: Award (A0) if y-coordinate given.

d.

Examiners report

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

Syllabus sections

Topic 6 - Mathematical models » 6.7 » Use of a GDC to solve equations involving combinations of the functions above.
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