1310-Notes-Sec-51-filled

1310-Notes-Sec-51-filled - Math 1310 Section 5.1...

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Math 1310 Section 5.1 Exponential Functions The function x a x f = ) ( is the exponential function with base . 0 a We’ll be interested in graphing exponential functions. What you already know about graphing functions using transformations will apply. First, you will need to be able to evaluate an exponential function at a stated value of x. Example 1: Suppose 3 4 ) ( - = x x f . Find ) 2 ( f and ) 1 ( - f . We’ll look at two cases of the exponential function, 1 a and . 1 0 < < a For 1 a : Domain: ( 29 - , Range: ( 29 , 0 Key point: (0, 1) Horizontal asymptote: 0 = y since 0 y as -∞ x The graph of x a x f = ) ( with 1 a has this shape:
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1 0 < < a : Domain: ( 29 - , Range: ( 29 , 0 Key point: (0, 1) Horizontal asymptote: 0 = y since 0 y as x The graph of x a x f = ) ( with 1 0 < < a has this shape: We can use transformations to translate the graph of an exponential function left, right, up and down and to reflect it over either the x or the y axis. We’ll use the same order for
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This note was uploaded on 02/22/2012 for the course MATH 1310 taught by Professor Marks during the Summer '08 term at University of Houston.

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1310-Notes-Sec-51-filled - Math 1310 Section 5.1...

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