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What is the minimal value of function f(x)?

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manalq8
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What is the minimal value of function f(x)? [#permalink] New post   Updated on: 13 Jul 2014, 12:49
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What is the minimal value of function f(x)?

(1) f(0) = 16
(2) f(x) = (x – 4)^2
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B

Originally posted by manalq8 on 25 Nov 2011, 15:24.
Last edited by Bunuel on 13 Jul 2014, 12:49, edited 1 time in total.
Renamed the topic and edited the question.
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Re: What is the minimal value of function f(x)? [#permalink] New post   26 Nov 2011, 07:33
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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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Re: What is the minimal value of function f(x)? [#permalink] New post   25 Nov 2011, 15:39
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(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.

B
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Re: What is the minimal value of function f(x)? [#permalink] New post   26 Nov 2011, 11:28
thanks alot for the explanation
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Re: What is the minimal value of function f(x)? [#permalink] New post   30 Nov 2011, 23:27
thanks for the explanation- i got it worng :(
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Re: What is the minimal value of function f(x)? [#permalink] New post   09 Sep 2017, 06:42
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manalq8 wrote:
What is the minimal value of function f(x)?

(1) f(0) = 16
(2) f(x) = (x – 4)^2


St 1

What's the function?

insuff

St 2

To minimize just plug in 4

suff

B
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Re: What is the minimal value of function f(x)? [#permalink] New post   09 May 2020, 05:08
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The following is my explanation

From Statement 1: F(0)=16, No Solution, as we don't if we can get a much lesser value than 16, when X= 1 or 2 or 3 or 4
From Statement 2: F(X)= (X-4)^2
=X^+16-8X
If X=0, The value will be 16
If X=1, the value will be 9
If X=2, the value will be 4
If X=4, the value will be 0
If X=5, the value will be 1, So, if anything value of X more than 5, the F(x) will be more than 1.

Hope this explanation helps.
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Re: What is the minimal value of function f(x)? [#permalink] New post   17 Nov 2022, 09:49
Hello from the GMAT Club BumpBot!

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Re: What is the minimal value of function f(x)? [#permalink]
17 Nov 2022, 09:49
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