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Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

7. Piecewise Functions

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Exercise 33 Page 223

Be careful with the use of open and closed circles.

Domain: $1 < x \leq 12$
Range: ${1, 5, 6, 9}$
Graph:

Practice makes perfect

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

Graphing the Function

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

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Subchapter links

Communicate Your Answer p.217

Monitoring Progress p.218-221

Exercises p.222-224