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)
Accepted Solution
A:
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[tex]f(-1)=1=(-1)^2,\\\\f(0)=0=0^2,\\\\f(1)=1=1^2,\\\\f(2)=4=2^2.[/tex]Therefore, the set {(-1, 1), (0, 0), (1, 1), (2, 4)} represents the exponential function, given by[tex]f(x)=x^2.[/tex]Thus, option (D) {(-1, 1), (0, 0), (1, 1), (2, 4)} is CORRECT.