P04 - total lines, AND state its domain and range in...

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Project 4 MAC 2311 1. Why do we require a > 0 in order for f ( x ) = a x to be an exponential function? Why does every exponential function f ( x ) = a x , a > 0, intersect the y -axis at the point (0 , 1)? 2. How can the graph of the function y = ( 1 2 ) x be obtained from the graph of y = 2 x ? Illustrate by drawing both graphs on the axes below. 3. Carefully sketch the graph of f ( x ) = 1+ e 1 - x below, including any inter- cepts and asymptotal lines, AND state its domain and range in interval notation. Domain: Range: 1
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Now suppose g ( x ) is the function obtained by reflecting the graph of f ( x ) across the x -axis and then shifting the resulting graph up two units. Care- fully sketch the graph of g ( x ) below, including any intercepts and asymp-
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Unformatted text preview: total lines, AND state its domain and range in interval notation. Also, write an algebraic formula for g ( x ). Domain: Range: Formula: g ( x )= Now suppose h ( x ) is the function obtained by shifting the graph of f ( x ) up two units and then reflecting the resulting graph across the x-axis. Carefully sketch the graph of h ( x ) below, including any intercepts and asymptotal lines, AND state its domain and range in interval notation. Also, write an algebraic formula for h ( x ). Domain: Range: Formula: h ( x )= What do you notice about the order in which shifts and reflections take place? 2...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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P04 - total lines, AND state its domain and range in...

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