Cambridge International Mathematics

Introduction to functions (Chapter 19) 399

2aIf f(x)=5x+2, find and interpret f(¡3):

b Given f:x 7! 4 ¡x^2 , find: i f(2) ii f(¡5) iii f(x+1):

3 For the following graphs, find the domain and range and decide whether it is the graph of a function:

abc

4 If f(x)=5¡ 2 x andg(x)=x^2 +2x find:

a f(g(x)) b g(f(x))

5 If f(x)=5x¡ 4 , find:

a f(¡3) b f(x¡1) c f(f(x))

6 Determine the equation of the following reciprocal graphs:

ab

7 Consider the function f(x)=

4

x+3

¡ 1.

a Use technology to graph f(x).

b Find the equations of any vertical or horizontal asymptotes.

8 Sketch the graphs of:

a f(x)=jx¡ 4 j b f(x)=j 3 x+4j

Review set 19B

#endboxedheading

1 Copy and complete the mapping diagram alongside, mapping ‘y=x^2 ¡ 2 ’

and state whether the mapping is one-one, many-one,

one-many or many-many.

y

O x

2

y

()-3 -1, O x

y

O x

()-2 ¡2,

()1 -3,

()-6 -2,

O

y

x

x

y

O

()3 -3,

¡ 2

¡ 1

0

1

2

xy

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Y:\HAESE\IGCSE01\IG01_19\399IGCSE01_19.CDR Tuesday, 7 October 2008 2:54:13 PM PETER