5-Minute Check Lesson 3-7.

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Presentation transcript:

5-Minute Check Lesson 3-7

5-Minute Check Lesson 3-7

3-7 Graphs of Rational Functions LESSON ESSENTIAL QUESTIONS What is an asymptote (horizontal and vertical) and how do we write it into an equation? How do we graph rational functions and determine the asymptotes?

Rational Functions A rational function is a quotient of two polynomial functions. Form: Rational Functions have asymptotes.

Asymptotes

Example 1 To calculate for vertical asymptote, set the denominator to 0 and solve for x. Then verify by using the calculator. HOW TO DETERMINE HORIZONTAL ASYMPTOTE

Example 2

Slant Asymptote Slant Asymptotes occur when the degree of the numerator is EXACTLY ONE GREATER than the degree of the denominator.

Example 4

Example 5