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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 xaxis ( y = 0) is a horizontal asymptote. • The yintercept 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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 Spring '11
 Nuegyen
 Exponential Function, Real Numbers, Exponential Functions, ax, Ms. Hoa Nguyen, [email protected]

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