# Functions

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1. graphically testing symmetry
• x-axis: for every point (x,y) there is (x,-y)
• y-axis: for every point (x,y) there is (-x,y)
• origin: for every point (x,y) there is (-x,-y)
2. algebraically testing symmetry
• x-axis: replace y by -y, equivalent equation should result
• y-axis: replace x by -x, equivalent equation should result
• origin: replace x by -x and y by -y, equivalent equation should result
3. average rate of change equation
4. difference quotient equation
5. algebraically knowing whether a graph is odd, even, or neither
• even: f(-x)=f(x); plug in -x and you should get original equation
• odd: f(-x)=-f(x); plug in -x and you should get the opposite equation
6. graphically knowing whether a graph is odd, even, or neither
• even graphs have y-axis symmetry
• odd graphs have origin symmetry
7. how to graph piecewise functions
• graph each piece and keep only the part in the interval
• use open circles and closed circles accordingly
 Author: Gymnastxoxo17 ID: 277103 Card Set: Functions Updated: 2014-06-18 10:46:13 Tags: Chapter One Folders: H Pre-Calc Description: d Show Answers: