Exponential and Logarithmic Functions
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Define exponential function. Give an example of such function and graph it. Discuss what are common characteristics of all exponential functions. (i.e. domain/range/intercepts/asymptotes, general behavior)
Define logarithmic function. Give an example of such function and graph it. Discuss what are common characteristics of all logarithmic functions. (i.e. domain/range/intercepts/asymptotes, general behavior)
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Solution Summary
This shows examples of logarithmic and exponential functions, including characteristics, examples, and graphs.
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Exponential function - A function that raises a given base (positive constant) to successive powers of x (variable). An example would be f(x)=3^x. A graph of this is shown in the first attachment.
All exponential functions have a domain of all real numbers, and a range of f(x)>0. The y-intercept is always 1, because any number raised to a power of 0 is 1 (i.e. c^0=1 for all c, ...
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