Chapter 8.6, Problem 6E

To determine

To identify: The function from the graph.

Answer to Problem 6E

Thepoints represents theexponential equation.

Explanation of Solution

Given information:

The graph is shown in Figure 1.

  

The exponential function is monotonic, defined on the set of real numbers.

The equation of the exponential function is $e^{ax}$ where the value of $a$ determines the graph is decreases or increases and always passes through the $y$ axis such that the graph is asymptotic to the $x$ axis.

The exponential function approaches infinity when the value of $a$ is positive or function approaches 0 when the value of $a$ is negative.

It can be seen from the given graph that the function is monotonically decreasing, defined on the set of real numbers and passes through the $y$ axis at the point $\left(0,8\right)$ .

The function approaches 0 since the function is decreasing such that the graph is asymptotic to the $x$ axis.

Therefore, the points on the graph represents the equation of exponential function.