Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2003_AMC_12A_Problems/Problem_25&oldid=11846"