In order to match the function with its graph, we will first determine the type of the given function, then plot the graph. Lastly, we will compare the outcome with graphs given in the exercise.
|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.
Since is an exponential growth function and the points and belong to its graph, we can conclude that it is represented by the graph in choice C.