# 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==

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*