Question

Which set of ordered pairs could be generated by an exponential function?

Answer 1

Answer: Third option.

Explanation:

By definition, Exponential functions have the following form:

`y = ab^x`

Where "b" is the base (
`b > 0` and
`b\\eq 1`), "a" is a coefficient (
`a\\eq 0`) and "x" is the exponent.

It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.

Then, for an input value 0 (
`x=0`) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
`y=1`).

You can observe in the Third option shown in the image that when
`x=0`,
`y=1`

Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.