Cambridge Additional Mathematics

48 Functions (Chapter 2)

To draw the graph of y=jf(x)j, any parts of y=f(x) that are below thex-axis

are reflected in thex-axis.

Example 10 Self Tutor

For the following graphs, sketch the graph of y=jf(x)j:

ab

ab

EXERCISE 2D.3

1 For the following graphs, sketch the graph of y=jf(x)j:

abc

de f

2 Which of the functions y=jf(x)j in question 1 are one-one?

3 Suppose the range of y=f(x) is fy 6 y 62 g. Write down the range of y=jf(x)j.

PRINTABLE

DIAGRAMS

y

x

y = f(x)

O

y

x

y = f(x)

O

y

x

y = f(x)

y = f(x)||

O

y

x

y = f(x)

y = f(x)||

O

:¡ 6

y

x

y = f(x)

O

y = f(x)

O

y

x

y

x

y = f(x)

O

y = f(x)

O

y

O x

y

x

y = f(x) y = f(x)

O

y

x

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_02\048CamAdd_02.cdr Tuesday, 21 January 2014 1:16:42 PM BRIAN