Question

Does the table represent an exponential function? Explain.
x:1:2:3:4:
y:1:5:25:125
Ok, I would like to know what an exponential function is and how I can tell if one is or is not.

Answer 1

yes,
\[y=5^{x-1}\]
when x=1,
\[y=5^{1-1}=5^{0}=1\]
when x=2
\[y=5^{2-1}=5\]
actually it is a G.P.
common ratio for y =5/1=5
first term a=1
\[tn=ar ^{n-1}\]
Here tn=y,a=1,n=x

Answer 2

r=5/1=5

Answer 3

But I thought it had to be in the form?\[y=a(b)^3\]

Answer 4

how you will get 1,5,25 ?
it is best illustrated by
\[y=5^{x-1},x=1,2,3,..\]