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