Graphing Absolute Value Functions

Tuesday, April 23rd

Warm Up Describe the transformations of

from the parent function , then sketch the function.

What does absolute value mean? Evaluate:

Absolute Value By definition, absolute value is the distance

from zero. Can we ever have a negative distance?

How far away from zero is 3? How about -2?

Absolute value How many ways are there to be 4 units

away from zero?

Partner exercise I will give you two sticky notes and a number. Write that

number on your sticky notes then place those sticky notes on the proper place on the number line below.

Evaluating absolute value Evaluating an absolute value expression still

requires PEMDAS. We treat absolute value bars like parenthesis, so we want to simplify inside of the bars first.

Example: Evaluate when x = 1.

Examples:

You try:

Graphing absolute value functions

Why do you think the graph looks like this?

Domain and Range Domain:

Range:

Graphing absolute value functions This will always give us the basic shape of

our absolute value functions.

We will use what we know about transformations to shift the graph.

Gallery Walk Move around the room to complete the next

section of your notes on transformations

Examples: Describe the transformations of each of the

following from the parent function:

You Try:

Transformations Aerobics (Round 1)

Graphing with transformations: To graph absolute value functions with

transformations, we want to look from left to right. We will graph the transformations in that order.

Domain:

Range:

Examples:

Domain: Range:

Domain: Range:

You Try – sketch the graphs of each of the following and give their domain and range:

Transformations Aerobics (round 2)

Homework P. 166 (all), p. 169 (all)