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21M.1.SL.TZ2.7

pestleMathematicsAISLPaper 121M· sl-2-2-functions-notation-domain-range-and-inverse-as-reflectionsource ↗

A function is defined by fx=2-12x+5 for -7x7, x-5.

Find the range of f.

[3]
a.

Find the value of f-10.

[2]
b.
Markscheme / solution

f-7= 8 and f7= 1           (A1) 

range is fx1, fx8           A1A1 


Note: Award at most A1A1A0 if strict inequalities are used.


[3 marks]

a.

EITHER

sketch of f and y=0 or sketch of f-1 and x=0               (M1)


OR

finding the correct expression of f-1x=-2-5xx-2               (M1)


OR

f-10=-2-500-2              (M1)


OR

fx=0              (M1)


THEN

f-10=1           A1


[2 marks]

b.
Examiners’ report
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a.
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b.