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


An exponential function passes through the points and .

  1. Is the function increasing? Explain.

    As increases from to , increases from to . Thus, the function is increasing.

  2. 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 .

  3. 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