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MathNet 2017-part-06 — 176 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 70

The table gives values of a quadratic function $f$. What is $f(4)$?

| $x$ | -2 | 0 | 1 | 2 |
| :---: | :---: | :---: | :---: | :---: |
| $f(x)$ | 0 | $\frac{8}{3}$ | 3 | $\frac{8}{3}$ |

(A) $\frac{2}{3}$
(B) $\frac{5}{3}$
(C) -3
(D) 0
(E) None of the above