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Section 2.6 Functions-Transformations

# Section 2.6 Functions-Transformations - Outline Basic...

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Outline Basic Functions Translations Reflections Scaling General Transformations Basic Functions and Transformations Math 1050 K. J. Platt, Ph.D. Department of Mathematics Snow College Spring 2014

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Outline Basic Functions Translations Reflections Scaling General Transformations Outline 1 Basic Functions 2 Translations 3 Reflections 4 Scaling 5 General Transformations
Outline Basic Functions Translations Reflections Scaling General Transformations Basic Functions Mathematicians, scientists, engineers, and many others model physical world quantities using functions that are constructed from a relatively small number of basic functions. Following is a list of some of these basic functions. x y -2 -1 1 2 -2 -1 1 2 f ( x ) = x (1 , 1) x y -2 -1 1 2 -2 -1 1 2 f ( x ) = | x | (1 , 1) ( - 1 , 1)

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Outline Basic Functions Translations Reflections Scaling General Transformations Basic Functions x y -2 -1 1 2 1 2 3 f ( x ) = x 2 (1 , 1) ( - 1 , 1) x y -2 -1 1 2 -3 -2 -1 1 2 3 f ( x ) = x 2 (1 , 1)
Outline Basic Functions Translations Reflections Scaling General Transformations Basic Functions x y -2 -1 1 2 1 2 3 f ( x ) = x 3 (1 , 1) ( - 1 , - 1) x y -2 -1 1 2 1 2 3 f ( x ) = 3 x (1 , 1)

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Section 2.6 Functions-Transformations - Outline Basic...

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