Question

On a coordinate plane, an exponential function that has a horizontal asymptote of y = 0 is shown. The function has points (negative 2, StartFraction 4 Over 81 EndFraction), (negative 1, two-ninths), (0, 1), (1, nine-halves), (2, StartFraction 81 Over 4 EndFraction)
What is the multiplicative rate of change of the exponential function shown on the graph?

Answer 1

Answer:

  9/2

Step-by-step explanation:

It is the ratio between y-values for consecutive x-values. Perhaps the easiest two points to work with are ...

  (x, y) = (0, 1), (1, 9/2)

The rate of change you're looking for is (9/2)/1 = 9/2.