### Home > PC > Chapter 3 > Lesson 3.2.3 > Problem 3-95

3-95.

An exponential function passes through the points

Is the function increasing? Explain.

As

increases fromto , increases fromto . Thus, the function is increasing. Find the exponential function that passes through the two given points.

Use the form:

Substitute the coordinates of the points forto obtain two equations and solve for and.If the function you found in part (b) was shifted so that it has a horizontal asymptote of

, what would the new function be?Add a

to the function found in part (b). Use the eTool below to visualize this problem.

Click on the link to the right to view the full version of the eTool:*PCT 3-95 eTool*