Question

What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bracket five-halves end bracket superscript negative x?

0.4
0.6
1.5
2.5

Answer 1

Rewrite f(x) = 2*(5/2)^{-x} = 2*( (5/2)^{-1} )^x = 2*(2/5)^x. The multiplicative rate (the base) is 2/5 = 0.4.