Exercise 33 Page 223

Let's observe the given step function.

f (x) = ⎩ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎧ 9, 6, 5, 1, if 1 < x \leq 2 if 2 < x \leq 4 if 4 < x \leq 9 if 9 < x \leq 12

To think about how to draw the graph, let's look at the first piece of the function. The restriction on the domain tells us that

f (x)

equals

9

when

x

is greater than

1

and less than or equal to

2 .

f (x) = 9 if 1 < x \leq 2