Recall that exponential growth happens when a quantity increases by the same factor over equal intervals of time, and exponential decay occurs when it decreases by the same factor over equal intervals of time instead.
See solution.
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First, recall that exponential growth happens when a quantity increases by the same factor over equal intervals of time, and exponential decay occurs when it decreases by the same factor over equal intervals of time instead. Let's consider the general form of an exponential function.
f(x)= ab^x
Notice that if a>0, the function will be increasing over time by the same factor only if b>1. On the other hand, it will be decreasing over time by the same factor if 0
An exponential function of the form f(x) =ab^x with a>0 exhibits exponential growth if b>1, and exponential decay if 0
