L09 - Lecture 9 Section 1.5 Analyzing Graphs of Functions...

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Unformatted text preview: Lecture 9: Section 1.5 Analyzing Graphs of Functions The graph of a function u1D466 = u1D453 ( u1D465 ) is the set of points ( u1D465, u1D466 ) in the u1D465u1D466-plane that satisfy the equation. ex. Which of the following graphs represent u1D466 as a function of u1D465 ? Find the domain and range of each function. 1) u1D466 = 2 2) u1D465 = − 1 3) u1D466 = u1D465 2 4) u1D465 = u1D466 2 Vertical Line Test for Functions A set of points in the u1D465u1D466-plane is the graph of u1D466 as a function of u1D465 if and only if no vertical line intersects the graph at more than one point. NOTE: A function can have at most one u1D466-intercept. Zeros of a Function Def. The zeros of a function u1D453 ( u1D465 ) are the u1D465- values for which ex. Find the zeros of each function. 1) u1D453 ( u1D465 ) = u1D465 3 − u1D465 2 − 4 u1D465 + 4 2) u1D454 ( u1D465 ) = √ 4 − u1D465 2 3) ℎ ( u1D465 ) = 1 − 2 u1D465 1 + 3 u1D465 Increasing and Decreasing Functions Def. A function u1D453 is increasing...
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L09 - Lecture 9 Section 1.5 Analyzing Graphs of Functions...

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