# Difference between revisions of "2003 AMC 12A Problems/Problem 25"

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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 17:27, 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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