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# If f(x)=a1x^2+a2, then does the function intersect x axis?

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Director
Joined: 10 Sep 2007
Posts: 923
If f(x)=a1x^2+a2, then does the function intersect x axis? [#permalink]

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17 Aug 2008, 05:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If f(x)=a1x^2+a2, then does the function intersect x axis?

1) a1 > 0
2) a2 < 0
Manager
Joined: 09 Jul 2007
Posts: 241

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17 Aug 2008, 05:43
IT can be answered using both the information. So IMO C.

When A1 > 0 and A2 < 0 => we atleast kno that for x=0 f(x) is -ve and for some values of x f(x) will be +ve .
So f(x) will intesect X-axis.
The two conditions independently can not answer the question.
Director
Joined: 27 May 2008
Posts: 539

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17 Aug 2008, 06:07
abhijit_sen wrote:
If f(x)=a1x^2+a2, then does the function intersect x axis?

1) a1 > 0
2) a2 < 0

function will intersect x axis when f(x) = 0
the question can be asked as "Is it possibile to have a1x^2 + a2 = 0 "
now x^2 will always be postive, so the function will be zero only if a1 and a2 have different signs

Option C

Last edited by durgesh79 on 17 Aug 2008, 06:29, edited 1 time in total.
Manager
Joined: 15 Jul 2008
Posts: 205

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17 Aug 2008, 06:21
Ya.. using both statements it can be answered. Parabola.
Re: Another Intesect   [#permalink] 17 Aug 2008, 06:21
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# If f(x)=a1x^2+a2, then does the function intersect x axis?

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