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# what is the minimal value

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Senior Manager
Status: D-Day is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Joined: 12 Apr 2011
Posts: 275
Location: Kuwait
Schools: Columbia university
Followers: 4

Kudos [?]: 21 [0], given: 52

what is the minimal value [#permalink]  25 Nov 2011, 14:24
00:00

Difficulty:

5% (low)

Question Stats:

80% (01:24) correct 20% (00:00) wrong based on 10 sessions
What is the minimal value of function f(x)?

(1) f(0) = 16
(2) f(x) = (x – 4)2
[Reveal] Spoiler: OA

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Manager
Joined: 29 Oct 2011
Posts: 189
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Followers: 5

Kudos [?]: 64 [1] , given: 19

Re: what is the minimal value [#permalink]  25 Nov 2011, 14:39
1
KUDOS
(1) doesn't say anything about f(x) except it's initial value, subsequent values can be higher or lower.
(2) defines the function, therefore, it's possible to find minimum. in this case the minimum value would be (negative infinity), i don't believe GMAT deals with infinities.

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Joined: 24 Jun 2008
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Kudos [?]: 561 [1] , given: 3

Re: what is the minimal value [#permalink]  26 Nov 2011, 06:33
1
KUDOS
manalq8 wrote:
What is the minimal value of function f(x)?

(1) f(0) = 16
(2) f(x) = (x – 4)2

What a strange question. Statement 1 is clearly not sufficient, since you only know about one value of the function. Statement 2 is certainly sufficient, since you know the exact definition of the function, so you can answer any question about it. There's no need to do any work.

And while you don't need to do any calculation here, the minimum value would be 0 if, as I assume, you mean Statement 2 to read:

f(x) = (x-4)^2

Then when x=4, f(x) = 0. The value of f(x) cannot be negative since it is a square.
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Senior Manager
Status: D-Day is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Joined: 12 Apr 2011
Posts: 275
Location: Kuwait
Schools: Columbia university
Followers: 4

Kudos [?]: 21 [0], given: 52

Re: what is the minimal value [#permalink]  26 Nov 2011, 10:28
thanks alot for the explanation
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Joined: 05 Mar 2011
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Kudos [?]: 6 [0], given: 3

Re: what is the minimal value [#permalink]  30 Nov 2011, 22:27
thanks for the explanation- i got it worng
Re: what is the minimal value   [#permalink] 30 Nov 2011, 22:27
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# what is the minimal value

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