What exponential function represents the data in the table?
xf(x)
225
3125
4625
f(x)=5^x
f(2)=5^2=25
f(3)=5^3=125
f(4)=5^4=625

Our table looks like:
x --- f(x)
2 25
3125
4625

We can see that 5^x is indeed exponential function that we need.
for x = 2 we get 25, for x = 3 we get 125 and for x = 4 we get 625

that means that f(x) = 5^x indeed represents pairs of numbers in table.