1. 7.2 Graphing Rational Functions

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

4. Example 1: Graph

5. Graphing Translations

6. Example 2: Graph

7. Example 3: Graph

8. Example 4: Rewriting and Graphing
Rewritten Function is

9. 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

10. 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?

11. Example 6: Graph