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Graphs of Logarithmic Functions

Explore College Algebra concepts with a focus on graphs of logarithmic functions. Learn how to identify the domain, understand transformations, and interpret key features of logarithmic graphs. Ideal for students and educators alike.

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    College Algebra Graphs of Logarithmic Functions Identify the domain of a logarithmic function Before working with graphs, we will take a look at the domain (the set of input values) for which the logarithmic function is defined. Recall that the exponential function is defined as y - b x for any real numberx and constant b > 0 1 , where The domain of y is (-OO, 00) The range ofy is (0, co) In the last section we learned that the logarithmic function y ~ loga ( z ) is the inverse of the exponential function y - b x . So, as inverse functions: The domain of y ~ fa) is the range of y ~ b T ( 0 , 0 0 ) The range of y ~ l o g U ® ) is the domain of y ~ b x ( — 0 0 , 0 0 )

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