(a) Find an exponential function f such that f(0) = 3 and f(5) = 4.

what's the exponential function in the form f(t) = Ae^kt as well as in the form f(t) = C b t . Simplify A, k, C, and b as much as possible.

(b)? Check the answer to (a) by plugging t = 0 and t = 5 into the function you found. (What should you get?)

(c) Find the exponential function whose graph is shown below.

Check answer by plugging x = ?1 and x = 3 into the function

(3, -1) (-1, -16)