Find the value of b, if any, that would cause the graph of to look like the graph shown.
A)b = 3.5
B)b = 2.5
C)b = 4
D)b = 3
E)b = 2

Question

Find the value of b, if any, that would cause the graph of  to look like the graph shown. 
A)b = 3.5 
B)b = 2.5 
C)b = 4 
D)b = 3 
E)b = 2

Quizplus · Accepted Answer

By comparing the two graphs, we can see that the only difference between them is that the second graph is vertically compressed by a factor of 2. This means that b, which is the coefficient of the exponential function, must be increased in order to stretch the graph vertically. Since the compression factor is 2, we need to find the value of b that satisfies the equation 11e^(b(8)) = 11e^(3(8))/2. Solving for b, we get b = 3. Therefore, the answer is choice D.

Find the Value of B, If Any, That Would Cause