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 for
and to obtain two equations and solve for and .
If the function you wrote in part (a) is shifted so that it has a horizontal asymptote of
, and it now passes through the points and , what will the equation of the new function be?
to the function found in part (b).