Which of the following options results in a graph that shows exponential growth? a: f(x) = 0.4(0.2)x

b: f(x) = 4(0.98)x

c: f(x) = 0.7(5)x

d: f(x) = 5(4)−x

Please answer in comments

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

step-by-step explanation: