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Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

Algebra 2 Lesson 2-5

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

Graph y 2x 1 by using a table of values.

Evaluate the equation for several values of x.

Graph the function.

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

1a. Graph .

A.

C.

B.

D.

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

1b.Graph

A.

C.

B.

D.

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

Graph y x 1 1 on a graphing calculator.

Use the absolute value key. Graph the equation

Y1 abs(X 1) 1

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

Use the definition of absolute value to graph y

3x 6 2.

Step 1 Isolate the absolute value. y 3x

6 2 y 2 3x 6

when 3x 6 lt 0 y 2 (3x 6) y 3x

8

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

(continued)

Step 3 Graph each equation for the appropriate

domain.

When 3x 6 0, or x 2, y 3x 4. When 3x

6 lt 0, or x lt 2, y 3x 8.

2-5

Absolute Value Functions and Graphs

ALGEBRA 2 LESSON 2-5

A train traveling on a straight track at 50 mi/h

passes a certain crossing halfway through its

journey each day. Sketch a graph of its trip

based on its distance and time from the crossing.

2-5

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