Introduction to Piecewise Defined Functions

Introduction to Piecewise Defined Functions

Inequalities Review

• x < 9 means x is less than 9. There are many numbers that satisfy this inequality.

Multiple Choice

Which of the following number could be x if             x  $\ge$  10

• 10

• 9

• 8

• 7

Multiple Choice

Which number could be x

x  $<$  7

• 7

• 8

• 6

• 9

Interval Notation

• Interval notation is a compound inequality

• What is a number in the interval? 8

Multiple Choice

Which number is in the interval?

-2<x<4

• 27

• 10

• 11

• 2

Multiple Choice

Which Number is in the interval

0<x<20

• 15

• 0

• 20

• 21

Multiple Choice

Which number is in the interval?

10 $\le$  x $\le$  14

• 14

• 15

• 16

• 17

Multiple Choice

what number is in the interval?

10<x<22

• 10

• 22

• 15

• 1

For today, our goal is to identify whether functions are increasing or decreasing over intervals.

Multiple Choice

What was the graph doing on that interval?

• Increasing

• decreasing

• Staying Constant

Increasing, Decreasing, or staying Constant?

Multiple Choice

What was the graph doing?

• Increasing

• decreasing

• Staying Constant

Increasing, decreasing, staying constant

Multiple Choice

What was the graph doing?

• increasing

• decreasing

• staying constant