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If f(x) = 2x² - 3x + 1, what is the value of f(3) - f(1)?

GRE · 2022 · quant slot 2
Question:
If f(x) = 2x² - 3x + 1, what is the value of f(3) - f(1)?

Options

(A) 8
(B) 10
(C) 12
(D) 14
(E) 16
Answer: (B) 10

Explanation:
f(3) = 2(3)² - 3(3) + 1 = 18 - 9 + 1 = 10. f(1) = 2(1)² - 3(1) + 1 = 2 - 3 + 1 = 0. Therefore f(3) - f(1) = 10 - 0 = 10.

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