If the function f is defined for all $x$ by $f(x) = ax^2 + bx − 43$ , where a and b are constants, what is the value of $f(3)$ ?

(1) $f(4) = 41$
(2) $3a + b = 17$

Correct answer marked below

Statement (1) ALONE is sufficient

Statement (2) ALONE is sufficient

Correct

BOTH statements TOGETHER are sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If the function f is defined for all xxx by f(x)=ax2+bx−43f(x) = ax^2 + bx − 43f(x)=ax2+bx−43, where a and b are constants, what is the value of f(3)f(3)f(3)?(1) f(4)=41f(4) = 41f(4)=41(2) 3a+b=173a + b = 173a+b=17