A table for a function f is given to the

Dolly Robinson

Dolly Robinson

Answered question


A table for a function f is given to the right.
​(a) Determine whether function f represents exponential​ growth, exponential​ decay, or linear growth.
​(b) Find a formula for f.

Answer & Explanation



Skilled2021-08-11Added 108 answers

a) f(x) represents exponential growth (decay) according as f(x+1)f(x)=r>1(<1).
It represents linear growth if f(x+1)f(x)= constant x
Now f(1)f(2)=32128=52.
Also f(0)f(1)=f(1)f(0)=f(2)f(1)=52.
b) Since the ratio is a constant with r > 1 , f represents exponential growth.
Let f(x)=A(52)x
Hence f(x)=8(52)x

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