2003 AMC 12A Problems/Problem 25: Difference between revisions
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==Problem== | ==Problem== | ||
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? | Let <math>\displaystyle 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 | ||
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==See Also== | ==See Also== | ||
[[2003 AMC 12A Problems/Problem 24 | Previous problem]] | *[[2003 AMC 12A Problems/Problem 24 | Previous problem]] | ||
[[2003 AMC 12A]] | *[[2003 AMC 12A]] | ||
[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] | ||
Revision as of 16:27, 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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