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Date November 2020 Marks available 2 Reference code 20N.1.SL.TZ0.T_4
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Write down Question number T_4 Adapted from N/A

Question

Consider the graph of the function fx=x+12x2, x0.

Write down the zero of fx.

[2]
a.i.

Write down the coordinates of the local minimum point.

[2]
a.ii.

Consider the function gx=3-x.

Solve fx=gx.

[2]
b.

Markscheme

0=x+12x2        (M1)


Note:
Award (M1) for equating the function to zero.


x= -2.29  -2.28942       (A1)   (C2)


Note: Award (C1) for a correct x-value given as part of a coordinate pair or alongside an explicitly stated y-value.


[2 marks]

a.i.

2.88, 4.33  2.88449, 4.32674        (A1)(A1)   (C2)


Note:
 Accept x=2.88, y=4.33.


[2 marks]

a.ii.

3-x=x+12x2 (or equivalent)        (M1)


Note:
Award (M1) for equating the functions or for a sketch of the two functions.


x= -1.43  -1.43080        (A1)   (C2)


Note:
Do not award the final (A1) if the answer is seen as part of a coordinate pair or a y-value is explicitly stated, unless already penalized in part (a).


[2 marks]

b.

Examiners report

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

Syllabus sections

Topic 2—Functions » SL 2.4—Key features of graphs, intersections using technology
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Topic 2—Functions

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