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The Natural Base e

The Natural Base e 1.6 - Solution

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We are asked to state the type of function and then draw a graph. Let's do these things one at a time.

Type of Function

To determine whether the given function represents exponential growth or exponential decay, let's recall two properties of the natural base exponential function,

and and
Exponential growth function Exponential decay function

Let's now consider the given function. Since both and are greater than zero, the function is an exponential growth function.


Next, let's make a table of values to graph the function.

Finally, we will plot the points and connect them with a smooth curve.