Functions

Card Set Information

Author:
Gymnastxoxo17
ID:
277103
Filename:
Functions
Updated:
2014-06-18 06:46:13
Tags:
Chapter One
Folders:
H Pre-Calc
Description:
d
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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

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