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exponentialfunctions

# exponentialfunctions - n this section were going to review...

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n this section we’re going to review one of the more common functions in both calculus and the sciences. However, before getting to this function let’s take a much more general approach to things. Let’s start with , . An exponential function is then a function in the form, Note that we avoid because that would give the constant function, . We avoid since this would also give a constant function and we avoid negative values of b for the following reason. Let’s, for a second, suppose that we did allow b to be negative and look at the following function. Let’s do some evaluation. So, for some values of x we will get real numbers and for other values of x we well get complex numbers. We want to avoid this and so if we require this will not be a problem. Let’s take a look at a couple of exponential functions. Example 1 Sketch the graph of and Solution Let’s first get a table of values for these two functions.

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