Question

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

• (-1-).(0, 0), (1,3),(2,1)

• (-1, -1), (0, 0), (1, 1), (2,8)

(-1..). (0, 1), (1, 2), (2,4)

(-1, 1), (0, 0), (1, 1), (2, 4)

Answer 1

Answer: The correct option is

(D) {(-1, 1), (0, 0), (1, 1), (2, 4)}.

Step-by-step explanation: We are given to select the set of ordered pairs that could be generated by an exponential function.

Let f(x) be the required exponential function.

For the set {(-1, 1), (0, 0), (1, 1), (2, 4)}, we have

`f(-1)=1=(-1)^2,\\\\f(0)=0=0^2,\\\\f(1)=1=1^2,\\\\f(2)=4=2^2.`

Therefore, the set {(-1, 1), (0, 0), (1, 1), (2, 4)} represents the exponential function, given by

`f(x)=x^2.`

Thus, option (D) {(-1, 1), (0, 0), (1, 1), (2, 4)} is CORRECT.