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# The table above shows the values of the quadratic function f

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The table above shows the values of the quadratic function f [#permalink]  14 May 2019, 08:27
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The table above shows the values of the quadratic function f for several values of x. Which one of the following best represents f ?

(A) $$f(x) =− 2x^2$$

(B) $$f(x) = x^2 +3$$

(C) $$f(x) =−x^2 +3$$

(D) $$f(x) =− 2x^2 −3$$

(E) $$f(x) =− 2x^2 +3$$
[Reveal] Spoiler: OA

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Re: The table above shows the values of the quadratic function f [#permalink]  14 May 2019, 08:43
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If presented algebra in a non-algebraic format, recognize that the GRE may be attempting to get test-takers to waste time when a more intuitive solution may be available. When presented with variables in the answer choices, always consider if plugging in values may be a more efficient method to solve the problem as is the case here.

Plug in the first value x = -1 to eliminate any choices with functions that do not result in a value of 1

a) -2(1) ≠ 1 | eliminate a
b) 1 + 3 ≠ 1 | eliminate b
c) -1 + 3 ≠ 1 | eliminate c
d) -2 - 3 ≠ 1 | eliminate d
e) -2 + 3 = 1 | keep e

Since, no other choices survived just the first pair of values select choice E confidently without meddling with the exact formulas.
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Re: The table above shows the values of the quadratic function f   [#permalink] 14 May 2019, 08:43
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