y = − 2 ⋅ ex − 1 − 2. Example 6. Find the exponential function of the form y = a ⋅ bx − 1 + d whose graph is shown below with a horizontal asymptote (red) given by y = − 1 . Solution to Example 6. The horizontal asymptote of the exponential

Because the x-value of the first point is zero, we can easily find a. 1.75 = ab 0 or a = 1.75. Plugging this value, along with those of the second point, into the general exponential equation produces 6.87 = 1.75b 100, which gives