Answers to reinforcement exercises
3.3.1 Definition of a function
A. (i) (a) − 2 (b) 0 (c) 6 (d) −^23
(ii) (a) 2 (b) −1(c)26(d)−^23(iii) (a) 2 (b) 1 (c) 16 (d)14
9
(iv) (a) 1 (b)^12 (c)^15 (d)^35
(v) (a) 4 (b) −1(c)^87 (d) − 6B. (i)
u^2 − 1
u+ 2(ii)t(t+ 2 )
t+ 3(iii)s^2 −t^2
t(s+ 2 t)(iv)a^2 + 2 ah+h^2 − 1
a+h+ 2(v)x^2 + 2 xδx+(δx)^2 − 1
x+δx+ 23.3.2 Plotting the graph of a function
A.(i)
y− 3 − 2 − 101 2 3 x603040502010− 10− 20− 30− 40− 50− 60y = 2 x^3