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**Unformatted text preview: **, 1) and (1 , a ). The number e is an IRRATIONAL number, and approximately equal to 2 . 718. The graphing calculators have the key e x or exp( x ) to compute the exponential function y = a x where a is equal to the number e . 2 3 The graph of f ( x ) = a x , < a < 1 The graph of f ( x ) = ( 1 2 ) x (0 < a < 1) The graph of y = a x , 0 < a < 1 is similar to the graph of y = ( 1 2 ) x . The graph is strictly decreasing , i.e., if x 1 < x 2 then a x 1 > a x 2 . y 0 as x y as x - The x-axis ( y = 0) is a horizontal asymptote. The y-intercept is 1. The graph is continuous (no gaps) and smooth (no corners). The graph of f contains the points (0 , 1) and (1 , a ). 3 4 Examples Question 1: Question 2: 4...

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