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2.3 Properties of Functions

2.3 Properties of Functions. Even Functions. Even function : if i.e. symmetric about the y-axis:. Odd Functions. Odd function : if i.e . symmetric about the origin:. f (− x ) = − f ( x ). Even or Odd Functions.

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2.3 Properties of Functions

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  1. 2.3 Properties of Functions

  2. Even Functions Even function: if i.e. symmetric about the y-axis:

  3. Odd Functions Odd function: if i.e. symmetric about the origin: f(−x) = −f(x)

  4. Even or Odd Functions Determine if the graphs below are even, odd or neither.

  5. Increasing/Decreasing Functions Increasing: If a positive change in x results in a positive change in f(x). Decreasing: If a positive change in x results in a negative change in f(x). Constant: If a positive change in x results in a zero change in f(x).

  6. Minimums (where vs. value) Local Minimum: a local low point on the graph of a function Absolute Minimum: the absolute lowest point on the graph of a function Find Using Min/Max Options On Graphing Calculator

  7. Maximums (where vs. value) Local Maximum: a local high point on the graph of a function Absolute Maximum: the absolute highest point on the graph of a function Find Using Min/Max Options On Graphing Calculator

  8. Asymptotes Vertical asymptotes: Unique zero of the denominator of a function. Horizontal Asymptote “End Behavior” (limit notation)

  9. 2.3 IP Assignment Pg. 89: #s 12-32 evens, 46-52 evens

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