Cambridge Additional Mathematics

y

x

(-2 4),

(-2 -3), O

y

x

(-2 1),¡

3

O

y

x

() 32 ,¡

() 31 ,¡

-1

1

O

PRINTABLE

GRAPHS

y

x

2

5

O

y = f(x)

y

x

2

O

y = f(x)

y

x

2

O

y = f(x)

Functions (Chapter 2) 61

7 Draw the graph of y=j 2 x¡ 1 j.

8 Draw a sign diagram for:

a (3x+ 2)(4¡x) b

x¡ 3

(x+2)^2

9 If f(x)=2x¡ 3 and g(x)=x^2 +2, find in simplest form:

a fg(x) b gf(x)

10 If y=f(x) has an inverse, sketch the graph of y=f¡^1 (x).

abc

11 Find f¡^1 (x) given that f(x) is:

a 4 x+2 b

3 ¡ 5 x

4

12 Consider f(x)=x^2 and g(x)=1¡ 6 x.

a Show that f(¡3) =g(¡^43 ). b Find (f±g)(¡2).

c Findxsuch that g(x)=f(5).

13 Given f:x 7! 3 x+6 and h:x 7!

x

3

, show that (f¡^1 ±h¡^1 )(x)=(h±f)¡^1 (x).

Review set 2B

1 Determine whether the following relations are functions. If they are functions, determine whether

they are one-one.

ab

c

4037 Cambridge

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Y:\HAESE\CAM4037\CamAdd_02\061CamAdd_02.cdr Thursday, 3 April 2014 4:10:06 PM BRIAN