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Date November 2021 Marks available 1 Reference code 21N.1.SL.TZ0.3
Level Standard Level Paper Paper 1 (without calculator) Time zone Time zone 0
Command term Find Question number 3 Adapted from N/A

Question

The function f is defined by fx=2x+43-x, where x, x3.

Write down the equation of

Find the coordinates where the graph of f crosses

the vertical asymptote of the graph of f.

[1]
a.i.

the horizontal asymptote of the graph of f.

[1]
a.ii.

the x-axis.

[1]
b.i.

the y-axis.

[1]
b.ii.

Sketch the graph of f on the axes below.

[1]
c.

Markscheme

x=3                 A1

 

[1 mark]

a.i.

y=-2                 A1

 

[1 mark]

a.ii.

-2,0   (accept x=-2)                 A1

 

[1 mark]

b.i.

0,43   (accept y=43 and f0=43)                 A1

 

[1 mark]

b.ii.

               A1


Note:
Award A1 for completely correct shape: two branches in correct quadrants with asymptotic behaviour.

 

[1 mark]

c.

Examiners report

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

Syllabus sections

Topic 2—Functions » SL 2.8—Reciprocal and simple rational functions, equations of asymptotes
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Topic 2—Functions

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