Page 14 - 1202 Question Bank Additional Mathematics Form 4

Form 4 Assessment

PAPER 1

Time: 2 hours
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Section A
[64 marks]
Answer all questions.

1. (a) Diagram 1 shows a graph f (x) for the domain 2. (a) Given the function g : x → 2 – 3x and
a < x < b. h : x → x , x ≠ k. Find
–1
f(x) 2 – x
(i) the value of k,
(ii) hg(x).
[3 marks]
x
–2 0 4 (b) Diagram 2 shows a graph of f (x).
f(x)
Diagram 1
(i) State the value of a and b. x
(ii) Determine whether f (x) has an inverse 0
function for the domain given. Explain your
answer.
[3 marks] Diagram 2
(b) The function f and g are defined by f : x → 4x + 5 State whether f (x) is a function. Justify the test
and g : x → x + 8. Find the possible values of x used in determining the answer. [2 marks]
2
so that f (x) = g(x). [2 marks]
Answer:
Answer: (a) (i)
(a) (i)
(ii)
(ii)

(b)

(b)

89

11_1202 QB AMath F4.indd 89 09/05/2022 11:36 AM