Difference between revisions of "2003 AMC 12A Problems/Problem 25"
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| − | Let <math> f(x)= | + | ==Problem== |
| − | For how many real values of <math>a</math> is there at least one positive value of <math> b </math> for which the domain of <math>f </math> and the range <math> f </math> are the same set? | + | Let <math> f(x)= \sqrt{ax^2+bx} </math>. For how many real values of <math>a</math> is there at least one positive value of <math> b </math> for which the domain of <math>f </math> and the range <math> f </math> are the same set? |
(A)0 (B) 1 (C) 2 (D) 3 (E) infinitely many | (A)0 (B) 1 (C) 2 (D) 3 (E) infinitely many | ||
| + | == Solution== | ||
| + | {{solution}} | ||
| + | |||
| + | ==See Also== | ||
| + | [[2003 AMC 12A Problems/Problem 24 | Previous problem]] | ||
| + | [[2003 AMC 12A]] | ||
| + | |||
| + | [[Category:Intermediate Algebra Problems]] | ||
Revision as of 16:26, 28 November 2006
Problem
Let 
. For how many real values of 
is there at least one positive value of 
for which the domain of 
and the range are the same set?
(A)0 (B) 1 (C) 2 (D) 3 (E) infinitely many
== Solution==
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