2003 AMC 12A Problems/Problem 25

Revision as of 10:39, 28 November 2006 by Hather (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Let $f(x) = sqrt{ ax^2 + bx }$. 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

Invalid username
Login to AoPS