NAME DATE PERIOD 1-2 Analyzing Graphs of Functions and Relations

NAME

DATE

PERIOD

1-2 Analyzing Graphs of Functions and Relations

What You'll Learn

Scan the Examples for Lesson 1-2. Predict two things that you think you will learn about functions and their graphs.

1.

2.

Copyright ? Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Lesson 1-2

Active Vocabulary even function

New Vocabulary Match the term with its definition by drawing a line to connect the two.

the x-intercept(s) of the graph of a function

line of symmetry functions that are symmetric with respect to the origin

odd function graphs that have this property can be rotated 180? with respect to a point and appear unchanged

point symmetry the solution(s) of a given equation

roots functions that are symmetric with respect to the y-axis

Chapter 1

zeros graphs that have this property can be folded along a line so that the two halves of the graph match exactly

5

Glencoe Precalculus

NAME

Lesson 1-2 (continued)

DATE

PERIOD

Main Idea

Analyzing Function Graphs pp. 13?16

Details

Use the graph of each function to find its y-intercept and zeros.

y

y

0

x

0

x

Symmetry of Graphs pp. 16?18

y-intercept: zeros:

y-intercept: zeros:

Identify which function is even, which is odd, and which is neither.

1. f(x) = x3 - x

1.

2. g(x) = 2x4 + x - 1

2.

3. h(x) = -3x2 + 1

3.

Copyright ? Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Helping You Remember Think about the different types of line

symmetry: about the x-axis, about the y-axis, and about the origin. Provide examples of graphs illustrating each of the symmetries.

x-axis symmetry

y-axis symmetry

origin symmetry

y

y

y

0

x

0

x

0

x

Chapter 1

6

Glencoe Precalculus

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