Stitz-Zeager_College_Algebra_e-book

7 to test if a function was even odd or neither the

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Unformatted text preview: rem 1.3. Horizontal Shifts. Suppose f is a function and h is a positive number. • To graph y = f (x + h), shift the graph of y = f (x) left h units by subtracting h from the x-coordinates of the points on the graph of f . • To graph y = f (x − h), shift the graph of y = f (x) right h units by adding h to the x-coordinates of the points on the graph of f . In other words, Theorem 1.3 says adding to or subtracting from the input to a function amounts to shifting the graph left or right, respectively. Theorems 1.2 and 1.3 present a theme which will run common throughout the section: changes to the outputs from a function affect the y -coordinates of the graph, resulting in some kind of vertical change; changes to the inputs to a function affect the x-coordinates of the graph, resulting in some kind of horizontal change. Example 1.8.1. √ x. Plot at least three points. √ 2. Use your graph in 1 to graph g (x) = x − 1. √ 3. Use your graph in 1 to graph j (x) = x − 1. √ 4. Use your graph...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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