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section23 - MAT 111 College Algebra Section 2.3 Analyzing...

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MAT 111 - College Algebra Section 2.3: Analyzing Graphs of Functions Objectives: 1. Learn what a graph of a function is and how to graph a function. 2. Find domain and range of a function graphically. 3. Learn what zeros of a function are and how to find them. 4. Learn what an increasing, decreasing and constant function is and be able to determine the behavior of a function over an interval. 5. Learn what an even/odd function is. 6. Learn what a relative maximum/minimum of a function is and how to find it (them). Objective 1: The graph of a function f is the collection of ordered pairs ( x, f ( x )) where x is in the domain of f . Examples: Use the graph of the function to find the indicated function values: 1. (a) f (0) (b) f (1) (c) f ( - 1) 2. (a) g (0) (b) g (2)
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Objective 2: To find the domain of a function graphically, slide a vertical line along the graph. Every intersection point of the vertical line and the graph is a point in the domain. To find the range of a function graphically, slide a horizontal line along the graph. Every intersection point of the horizontal line and the graph is a point in the range.
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