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

It is currently 27 May 2016, 00:01
GMAT Club Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Which of the following is a possible equation for the above graph?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 18 Jul 2009
Posts: 15
Followers: 0

Kudos [?]: 19 [0], given: 5

Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 10 Aug 2009, 20:11
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (02:12) correct 50% (00:58) wrong based on 167 sessions

HideShow timer Statistics

Image
Which of the following is a possible equation for the above graph?

A) x^3
B) x^3 -1
C) 3x^3 + 2x
D) 3x^3 - 2x
E) x^3 + 3x^2 - x + 2


[Reveal] Spoiler:
Image
Attachment:
Graph.png
Graph.png [ 11.02 KiB | Viewed 1461 times ]
[Reveal] Spoiler: OA
Intern
Intern
avatar
Joined: 18 Jul 2009
Posts: 15
Followers: 0

Kudos [?]: 19 [0], given: 5

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 10 Aug 2009, 20:18
are we goin to use equation of line y=mx+b here?
4 KUDOS received
Intern
Intern
avatar
Joined: 30 Jul 2009
Posts: 41
Followers: 1

Kudos [?]: 39 [4] , given: 1

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 10 Aug 2009, 22:00
4
This post received
KUDOS
1
This post was
BOOKMARKED
The graph is a plot of y=f(x) ,which we have to find. Look at the graph closely. The graph cuts at (0,0)

So when x=0, y =0 . This eliminates option B and E.
When you substitute 0 in option B, y= x^3 - 1, if x=0 -> y=0^3 -1 =-1. The corresponding co-ordinate is 0,-1 which is not the case with the graph

When you substitute 0 in option E , y= x^3+3x^2-x+2 , if x=0 y= 2. Again, the corresponding co-ordinate is 0,2 which is not the case.

Now we are left with options A,C and D.

In A, y =x^3. If x>0, y should be greater than 0. But this is not the case in the given graph. The graph has points in 4th quadrant which is (x,-y). So option A can be ruled out.

Now consider C , y=3x^3 + 2x. Again if x>0 , y should be greater than 0. Ex. if x=1 , y= 5. if x=1/10 , y = 0.003+ 0.2 = 0.203. But this is not the case in the given graph. The graph has points in 4th quadrant which is (x,-y). So option C can be ruled out.


Now consider D, y= 3x^3 -2x , In this case , for x>0 , y can be gretaer than 0 or less than 0. For ex, if x=1/10, y= 0.003-.02= -0.017. If x=1, y =1. For x=2, y=22. So for x> 0, Y can be less than or greater than 0, spanning I and IV quadrant. Therefore option D is correct.
Senior Manager
Senior Manager
User avatar
Affiliations: ACA, CPA
Joined: 26 Apr 2009
Posts: 441
Location: Vagabond
Schools: BC
WE 1: Big4, Audit
WE 2: Banking
Followers: 5

Kudos [?]: 62 [0], given: 41

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 11 Aug 2009, 02:14
D it is
I don't think we can use the slope formula here... its a simple case of solving for X or Y and seeing the corresponding points on the graph.

What the source?
_________________

If you have made mistakes, there is always another chance for you. You may have a fresh start any moment you choose, for this thing we call "failure" is not the falling down, but the staying down.

Intern
Intern
avatar
Joined: 26 Jul 2009
Posts: 5
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 11 Aug 2009, 03:14
Just use elimination, or substitution, when u sub in (0,0), u eliminate two choices, and when u sub in a small number, u elminate A and C. then u are left with D
Intern
Intern
avatar
Joined: 18 Jul 2009
Posts: 15
Followers: 0

Kudos [?]: 19 [0], given: 5

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 11 Aug 2009, 09:36
thank u 'Learner' for writing so much.Thanks a lot.(deserver a kudos)
Sniper, source is Princeton prep course.
Manager
Manager
User avatar
Status: Preparing myself to break the sound( 700 )-barrier!
Affiliations: IFC - Business Edge, Bangladesh Enterprise Institute
Joined: 15 Feb 2011
Posts: 209
Location: Dhaka, Bangladesh
Schools: Texas A&M - Mays; PennState - Smeal; Purdue - Krannert; JohnsHopkins - Carey; Vanderbilt - Owen; WakeForest - Babcock; UBC - Sauder
WE 1: Financial Analyst/Financial Management Trainer - BRAC Afghanistan - 13 months
WE 2: Business Proposal Coordinator - MiDS, Inc. (in Kabul, Afghanistan) - 4 Months (did quit the job bcoz of security concerns)
WE 3: Readers For Readers (A Social Impact Generating Organization) - Co-Founder
Followers: 7

Kudos [?]: 59 [0], given: 136

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 23 May 2011, 21:07
Does this question represent real GMAT questions? I really doubt! Any thoughts?
VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 16

Kudos [?]: 203 [0], given: 10

Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 23 May 2011, 21:30
well from the graph one can see three solutions - (0,0),(x,0) and (-x,0).

substituting for y = f(x) we have,

C and D options left.

With a positive value for X, Y = 0 as can be seen in the positive half of the graph.

D is the only option left.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9643
Followers: 465

Kudos [?]: 120 [0], given: 0

Premium Member
Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 16 Nov 2015, 07:07
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 28 Jul 2014
Posts: 9
Followers: 0

Kudos [?]: 9 [0], given: 15

CAT Tests
Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 23 Nov 2015, 10:28
Pretty sure calculus is not in the scope of the GMAT, so I apologize if this is a waste of time, but differentiation comes in handy here. There should be 2 points where the first derivative equals zero, i.e. a quadratic equation with 2 distinct roots for the local minima and maxima. This rules out A,B,and C. To decide between D and E, we apply second order conditions;we know that there is one inflection point at the origin, therefore the second derivative must = 0 where x = 0. For D, we have dy/dx = 9x^2 - 2; d2y/dx2 = 18x = 0, gives x=0, as required. Choose D. For E, we have dy/dx = 3x^2+6x-1. d2y/dx2 = 6x+6 =0. x is not 0. The answer is D
Manager
Manager
User avatar
Joined: 17 Jun 2015
Posts: 193
Followers: 1

Kudos [?]: 21 [0], given: 148

CAT Tests
Re: Which of the following is a possible equation for the above graph? [#permalink]

Show Tags

New post 28 Dec 2015, 13:44
No need to know the equation of this scary graph.

According to the graph, for x = 0. y = 0. This is possible in only three options. A,C and D

For x^3, when x is positive, x^3 would never come below the x axis and give a negative value. Hence, A is discarded.

From the other two options, take x as 0.5 and 1. Option D gives the negative dip.
_________________

Fais de ta vie un rêve et d'un rêve une réalité

Re: Which of the following is a possible equation for the above graph?   [#permalink] 28 Dec 2015, 13:44
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic The graph of which of the following equations is a straight line that Bunuel 13 21 Oct 2015, 21:25
16 Experts publish their posts in the topic Which value(s) of x satisfies the equation above? mikemcgarry 9 09 May 2013, 12:20
21 Experts publish their posts in the topic In the coordinate system above, which of the following is Walkabout 12 27 Dec 2012, 07:38
2 Experts publish their posts in the topic Which of the following equations is NOT equivalent to 10y^2= DelSingh 2 06 Aug 2012, 09:57
13 Experts publish their posts in the topic Which of the following inequalities has a solution set, when graphed ugimba 12 02 Mar 2009, 20:47
Display posts from previous: Sort by

Which of the following is a possible equation for the above graph?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.