Choose the graph that represents the given function without using a graphing utility.f(x) = 
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Answer: A
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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.
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.
Solve.Fill in the missing digits in the problem.
What will be an ideal response?
Provide an appropriate response.Explain in your own words how you can tell from the equation whether the branches of a hyperbola open up and down or left and right.
What will be an ideal response?
Graph the solution of the system of inequalities.y < 2x - 4y ? - x
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