Question

Does this table represent an exponential function? x 1 2 3 4 y 4 16 64 256

Answer 1

Yes, the given table represent an exponential function.

Explanation:

Given table is :

x y

1 4

2 16

3 64

4 256

Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function
`y=ab^x`.

We see that y-values are basically powers of 4 so we can write the related function as
`y=4^x`.

Which is clearly in form of
`y=ab^x`.

Hence yes, the given table represent an exponential function.