### Home > PC3 > Chapter 6 > Lesson 6.2.3 > Problem 6-105

6-105.

An exponential function passes through the points

Write the equation of an exponential function that passes through the two given points and has a horizontal asymptote of

.Use the form

.

Substitute the coordinates of the points forandto obtain two equations and solve forand.If the function you wrote in part (a) is shifted so that it has a horizontal asymptote of

, and it now passes through the pointsand , what will the equation of the new function be? Add a

to the function found in part (b).