7.2 Graphing Rational Functions

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9.2 Graphing Simple Rational Functions

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Presentation transcript:

7.2 Graphing Rational Functions

Parent function for Simple Rational Function The graph of the parent function f(x)=1/x is a hyperbola which has two symmetrical branches. hyperbola branch

Example 1: Graph

Graphing Translations

Example 2: Graph

Example 3: Graph

Example 4: Rewriting and Graphing Rewritten Function is

Example 5: Modeling with Mathematics A company decides to make small display models of engine components using a 3-D printer. The printer costs $1000. The material for each model costs $50. a) Estimate how many models must be printed for average cost per model to be $90 Write an equation that represents average cost. Use a graphing calculator to estimate number of models

a) Estimate how many models must be printed for average cost per model to be $90 The average cost is $90 after about 25 models b) What happens to the average cost as more models are produced?