Precalculus Exponential and Logarithmic Functions Graphs of Functions
Graph of the Exponential Function Interactive Example 1

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If a > 0 and a is not equal to 1, the exponential function with base a is defined to be f(x) = a x .

Graph of f(x) = a x , 0 < a < 1 | Graph of f(x) = a x , a > 1
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PROPERTIES OF THE EXPONENTIAL FUNCTION The domain of f is the set of all real numbers. The range of f is the set of positive real numbers. The y-intercept for the graph of f is 1. The graph of f has no x-intercept. The x-axis is a horizontal asymptote for the graph of f. The function f is increasing if a > 1 and decreasing if 0 < a < 1. The function f is one - to - one.

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