Respuesta :
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.
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