CA_GPS_26 - must be written in the same base . ] 1. Begin...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 26 3.1 EXPONENTIAL FUNCTIONS II Class Time: ____________ Date: __________ Useful Guidelines: * The Base e is defined as the number that the expression n n ! " # $ % + 1 1 approaches as n becomes very large. * In limit notation, n x n e ! " # $ % + = ( 1 1 lim . * Exponential equations: Equations that involve terms of the form x a , where 0 > a and 1 ! a . * Property of the exponents: If v u a a = , then v u = . [Note: To solve exponential equations, each side of the equation
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Unformatted text preview: must be written in the same base . ] 1. Begin with the graph of x e x f = ) ( and use transformation to graph each function. Determine the y-intercept, domain, range, and horizontal asymptote of each function. (a) x e x f ! = ) ( (b) x e x f ! = ) ( (c) x e x f ! = ) (-5 (d) 2 ) ( + ! = x e x f (e) x e x f ! = 3 ) ( (f) 3 ) ( 2 + ! = x e x f 2. Solve each equation. (a) 25 5 3 4 = ! x (b) 16 2 21 2 = ! x (c) 7 6 2 ! ! = x x e e (d) x x e e e 3 10 2 =...
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