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## Splash Screen

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### Lesson 9-2 Adding and Subtracting Rational Expressions. Lesson 9-3 Graphing Rational Functions ... Lesson 9-4 Direct, Joint, and Inverse Variation. Lesson 9-5 ... – PowerPoint PPT presentation

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Title: Splash Screen

1
Splash Screen
2
Contents
Lesson 9-1 Multiplying and Dividing Rational
Expressions Lesson 9-2 Adding and Subtracting
Rational Expressions Lesson 9-3 Graphing Rational
Functions Lesson 9-4 Direct, Joint, and Inverse
Variation Lesson 9-5 Classes of Functions Lesson
9-6 Solving Rational Equations and Inequalities
3
Lesson 1 Contents
Example 1 Simplify a Rational Expression Example
2 Use the Process of Elimination Example
3 Simplify by Factoring Out 1 Example 4 Multiply
Rational Expressions Example 5 Divide Rational
Expressions Example 6 Polynomials in the
Numerator and Denominator Example 7 Simplify a
Complex Fraction
4
Example 1-1a
Look for common factors.
5
Example 1-1b
Under what conditions is this expression
undefined?
A rational expression is undefined if the
denominator equals zero. To find out when this
expression is undefined, completely factor the
denominator.
Answer The values that would make the
denominator equal to 0 are 7, 3, and 3. So the
expression is undefined at y 7, y 3, and y
3. These values are called excluded values.
6
Example 1-1c
Answer undefined for x 5, x 4, x 4
7
Example 1-2a
Read the Test Item You want to determine which
values of p make the denominator equal to 0.
8
Example 1-2b
Solve the Test Item Look at the possible answers.
Notice that the p term and the constant term are
both negative, so there will be one positive
solution and one negative solution. Therefore,
you can eliminate choices A and D. Factor the
denominator.
9
Example 1-2c
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Example 1-3a
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Example 1-3b
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Example 1-4a
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Example 1-4b
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Example 1-4c
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Example 1-5a
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Example 1-5b
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Example 1-6a
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Example 1-6b
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Example 1-6c