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Date November 2021 Marks available 3 Reference code 21N.2.SL.TZ0.2
Level Standard Level Paper Paper 2 Time zone Time zone 0
Command term Sketch Question number 2 Adapted from N/A

Question

Consider the function fx=e-x2-0.5, for -2x2.

Find the values of x for which f(x)=0.

[2]
a.

Sketch the graph of f on the following grid.

[3]
b.

Markscheme

x=-0.832554, x=0.832554

x=-0.833, x=0.833                       A1A1


[2 marks]

a.

                       A1A1A1


Note: Award A1 for approximately correct shape. Only if this mark is awarded, award A1 for approximately correct roots and maximum point and A1 for approximately correct endpoints. 
Allow -1<x-0.8,  0.8x<1 for roots, x=0, 0.4y0.6 for maximum and x=±2, -0.6y-0.4 for endpoints.


[3 marks]

b.

Examiners report

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

Syllabus sections

Topic 2—Functions » SL 2.3—Graphing
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