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## Homework Statement

Consider the exponential function f(x)= ab^(x)

a) Show that (f(x+1))/f(x) = b

b)Use the results from part (a) to explain why there is no exponential function of the form f(x)= ab^(x) whose graph passes through the points (0,4) (1,4) (2,8) (3,24) and (4,72)

## Homework Equations

-None-

## The Attempt at a Solution

There is no attempt at part (a) becuase I couldn't find a way to start it, but for part (b) I am thinking it can't be a exponential function becuase the y-values for two of the x-values are the same. That's what I think, except I can't put it togethor the way part (b) wants me to.

Please Help.