# Test_1_STudy_Guide_Answers - I. Complete the following...

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I. Complete the following definitions: 1. The domain of a function is the set of all values of the independent variable. 2. The range of a function is the set of all values of the dependent variable. 3. A function f(x) is even if f(-x) = f(x) OR f(x) is symmetric about the y-axis. 4. A function f(x) is odd if f(-x) = -f(x) OR f(x) is symmetric about the origin. 5. The period of a sinusoidal function is the smallest time needed to complete a cycle. 6. The amplitude of a sinusoidal function is half the distance from the function’s minimum to the function’s maximum. 7. A function f(x) is continuous at a point c if for every 0 ε there is some 0 δ so that whenever x c - < , ( ) ( ) f x f c - < OR lim ( ) f x x c exists and lim ( ) ( ) f x f c x c = . II. Write the basic formula for each of the following types of functions: 1. y mx b = + linear 2. x y Ca = exponential 3. sin( ) OR sin( ( )) y A Bx y A B x h k = = + + sinusoidal 4. p y kx = power 5. ( ) where

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## This note was uploaded on 05/18/2011 for the course MATH 270 taught by Professor Vakarietis during the Summer '08 term at University of Louisiana at Lafayette.

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Test_1_STudy_Guide_Answers - I. Complete the following...

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