Question

What is the multiplicative rate of change for the exponential function f(x) = ? 0.4 0.6 1.5 2.5

Answer 1

Answer = 0.4 WORKINGS Given the exponential function f(x) = 2(5/2)^-x Let’s solve the negative exponent, (a/b)^-x = (b/a) ^x Therefore, f(x) = 2(5/2)^-x = 2(2/5) )^x Therefore, the multiplicative rate of change for the function is 2/5 2/5 = 0.4