An exponential function passes through the points
Is the function increasing? Explain.
increases from to , increases from to . 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 for
to 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?
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