Exercise 2.1

Question 1

(a)

Answer and working

Source note:

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

(e)

Answer and working

Question 2

Answer and working

Inputs and their images

Question 3

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

(e)

Answer and working

(f)

Answer and working

Question 4

(i(a))

Answer and working

(i(b))

Answer and working

(i(c))

Answer and working

(i(d))

Answer and working

Source note:

(ii(a))

Answer and working

(ii(b))

Answer and working

(ii(c))

Answer and working

(ii(d))

Answer and working

(ii(e))

Answer and working

Source note:

Question 5

(i)

Answer and working

Values of $f(x)=\dfrac{x}{x+2}$ on $A$

Source note:

(ii)

Answer and working

Values of $f(x)=\dfrac{x(x+1)}{x+2}$ on $A$

Source note:

Question 6

(a)

Answer and working

(b)

Answer and working

Question 7

(a)

Answer and working

Source note:

(b)

Answer and working

(c)

Answer and working

Source note:

(d)

Answer and working

Question 8

(i)

Answer and working

(ii)

Answer and working

(iii)

Answer and working

(iv)

Answer and working

(v)

Answer and working

Question 9

(a)

Answer and working

Source note:

(b)

Answer and working