Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 28 Oct 2016, 04:45

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

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: 270
Location: Kuwait
Schools: Columbia university
Followers: 4

Kudos [?]: 252 [0], given: 52

What is the minimal value of function f(x)? [#permalink]

### Show Tags

25 Nov 2011, 15:24
3
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

73% (01:37) correct 27% (00:46) wrong based on 229 sessions

### HideShow timer Statistics

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

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

_________________

Sky is the limit

Last edited by Bunuel on 13 Jul 2014, 12:49, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 29 Oct 2011
Posts: 184
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Followers: 10

Kudos [?]: 130 [1] , given: 19

Re: What is the minimal value of function f(x)? [#permalink]

### Show Tags

25 Nov 2011, 15:39
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.

B
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1183
Followers: 405

Kudos [?]: 1440 [5] , given: 4

Re: What is the minimal value of function f(x)? [#permalink]

### Show Tags

26 Nov 2011, 07:33
5
KUDOS
Expert's post
1
This post was
BOOKMARKED
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.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

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: 270
Location: Kuwait
Schools: Columbia university
Followers: 4

Kudos [?]: 252 [0], given: 52

Re: What is the minimal value of function f(x)? [#permalink]

### Show Tags

26 Nov 2011, 11:28
thanks alot for the explanation
_________________

Sky is the limit

Manager
Joined: 05 Mar 2011
Posts: 152
Followers: 0

Kudos [?]: 45 [0], given: 3

Re: What is the minimal value of function f(x)? [#permalink]

### Show Tags

30 Nov 2011, 23:27
thanks for the explanation- i got it worng
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12268
Followers: 542

Kudos [?]: 152 [0], given: 0

Re: What is the minimal value of function f(x)? [#permalink]

### Show Tags

13 Jul 2014, 12:43
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12268
Followers: 542

Kudos [?]: 152 [0], given: 0

Re: What is the minimal value of function f(x)? [#permalink]

### Show Tags

25 Aug 2015, 23:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: What is the minimal value of function f(x)?   [#permalink] 25 Aug 2015, 23:15
Similar topics Replies Last post
Similar
Topics:
If f(x)=3x−5 for all x, then what is the value of x? 2 26 Sep 2016, 03:10
For all numbers x, the function f is defined by f(x) = 3x + 1 and the 1 31 Aug 2015, 13:55
3 If the function f is defined for all x by f(x)= ax^2+bx-43, where a an 8 18 Dec 2014, 09:31
7 what is the greatest possible value of the function f(x)? 5 07 Apr 2014, 03:47
5 The variables B and C are functions of the value of A such 4 08 Feb 2011, 10:53
Display posts from previous: Sort by