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2003 AMC 12A Question 25

AMC12 · 2003 AMC 12A

Question 25

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 of $f$ are the same set?
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. infinitely many