Question

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

Answer 1

5^x

Explanation:

Table:

x --- ------f(x)

2 ----------25

3-----------125

4-----------625

Explanation: you can see that 5^x is an exponential function needed for x = 2 you then get 25, for x = 3 you get 125 and for x = 4 you get 625

This means that your answer would be 5^x

Answer 2

our table looks like:
x --- ------f(x)
2 ----------25
3-----------125
4-----------625

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.