2003 AMC 12A Problems/Problem 25

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Let $\displaystyle f(x)= \sqrt{ax^2+bx}$. For how many real values of $a$ is there at least one positive value of $b$ for which the domain of $f$ and the range $f$ are the same set?

(A)0 (B) 1 (C) 2 (D) 3 (E) infinitely many

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