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Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem 13-87

13-87.

An exponential function has an asymptote at y = 5 and passes through the points (2, 5.64) and (−1, 15). Find the equation of the function. Homework Help ✎

Since the graph has a horizontal asymptote at y = 5 and the y-values of the given
points are greater than 5, the graph must have a vertical shift of +5.

Use given points to write a system of equations using the general exponential equation. In this case y = a(b)x + 5.

5.64 = ab2 + 5
15 = ab−1 + 5