Provide an appropriate response.Fariba is "it" in a game of Guess My Rule. The students' inputs and Fariba's outputs are shown in the table below.Input Given-101346Output Reported-35?-36?-35?-27?-20?0?(i) Guess Fariba's rule (function), y = C(x).(ii) Hallie says that Fariba's rule is C(x) = x2 - 36, but Sam claims that it is C(x) = (x + 6)(x - 6). Who is correct, Hallie or Sam, both, or neither? Explain.

Question

A. (i) C(x) = (x - 6)(x - 6)
(ii) Sam is correct.
B. (i) C(x) = x2 - 36
(ii) Both Hallie and Sam are correct as (x + 6)(x - 6) = x2 - 36.
C. (i) C(x) = x2 + 36
(ii) Neither Hallie and Sam is correct.
D. (i) C(x) = x2 - 6
(ii) Hallie is correct.

Answer 1

Answer: B