What is the explicit equation for f(0)=8; f(×)=f(×-1)*3

Hello from MrBillDoesMath!

f(x) = 8 * 3^x

Discussion:

x = 0:      f(x) = 8

x = 1:       f(1) = f(0) * 3 = 8*3

x = 2:      f(2) = f(2-1)*3 = f(1) * 3 = (8*3)*3 = 8 * 3^2

x=3 :       f(3) = f(3-1)*3 = f(2)*3 = (8 * 3^2) * 3 = 8 * 3^3

Based on this we guess that

f(x) = 8 * 3^x

Thank you,

MrB

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)