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2.3 Analyzing Graphs of Functions. Graph of a Function set of ordered pairs.

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Presentation on theme: "2.3 Analyzing Graphs of Functions. Graph of a Function set of ordered pairs."— Presentation transcript:

1 2.3 Analyzing Graphs of Functions

2 Graph of a Function set of ordered pairs

3 Look at the graph of p. 201 Find domain range f(-1) f(2)

4 Vertical Line Test If a vertical line intersects the graph more than once, the graph is not a function

5 Zeros of a Function: x values when Find the zeros of the following functions

6 Increasing and Decreasing Functions Increasing Decreasing Constant

7 Linear Function Graph:

8 Ex. Write a linear function where

9 Relative Minimum and Relative Maximum A function value f(a) is called a relative minimum of f if there exists an interval (x 1, x 2 ) that contains a such that A function value f(a) is called a relative maximum of f if there exists an interval (x 1, x 2 ) that contains a such that

10 Step Functions and Piecewise Defined Functions Greatest Integer Function: - the greatest integer less than or equal to x.

11 Piecewise Defined function

12 Even and Odd Functions Evensymmetric to y axis Odd symmetric about origin


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