ca_m12_handouts

ca_m12_handouts - MAC 1105 Module 12 Rational Functions and...

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1 Rev.S08 MAC 1105 Module 12 Rational Functions and Rational Equations 2 Rev.S08 Learning Objective Upon completing this module, you should be able to: 1. Identify a rational function and state its domain. 2. Find and interpret vertical asymptotes. 3. Find and interpret horizontal asymptotes. 4. Solve rational equations. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 3 Rev.S08 What is a Rational Function? A rational function is a nonlinear function. The domain of a rational function includes all real numbers except the zeros of the denominator q(x). ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules.

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2 4 Rev.S08 What is a Vertical Asymptote? ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. In this graph, the line x = 2 is a vertical asymptote . 5 Rev.S08 What is a Horizontal Asymptote? ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. In this graph, the line y = 25 is a horizontal asymptote . 6 Rev.S08 Example ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Use the graph of to sketch the graph of Include all asymptotes in your graph. Write g ( x ) in terms of f ( x ). Solution
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ca_m12_handouts - MAC 1105 Module 12 Rational Functions and...

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