Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 2110:00 AM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 2208:30 AM PDT
-09:30 AM PDT
For many Indian MBA applicants, the default dream has long been a top US MBA. But as career goals, visa considerations, timelines, and global mobility priorities evolve, more candidates are seriously considering MBA programs in Europe.
May 2101:00 AM EDT
-02:00 AM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
May 2301:00 AM EDT
-02:00 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
May 2310:00 AM PDT
-11:00 AM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!- Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
65% (02:08) correct
35%
(02:09)
wrong
based on 52
sessions
History
Date
Time
Result
Not Attempted Yet
If f(x) = (x-1)^2+3, which of the following is true for all x?
I. 2f(x) = f(x-1) + f(x+1)
II. f(2-x) = f(x)
III. f(x) = f(-x)
A. I only
B. II only
C. III only
D. None
E. I, II and III
Source: OptimusPrep
I. 2f(x) = f(x-1) + f(x+1)
II. f(2-x) = f(x)
III. f(x) = f(-x)
A. I only
B. II only
C. III only
D. None
E. I, II and III
Source: OptimusPrep
Can anyone help me understand what was wrong with my approach? 
Step 1: I picked the number (2) and substituted it in the function f(x) = (x-1)^2+3
f(2) = 1^2+3 = 4
Step 2: I. 2f(x) = f(x-1) + f(x+1)
2f(2) = 2*4 = 8
f(x-1) + f(x+1) = f(2-1) + f(2+1) = f(1) + f(3) ===> Substituting f(1)+f(3) in f(x) = (x-1)^2+3 would equal 3 + (2)^2+3 = 3+4+3 = 10
Therefore, not true.
Step 3: II. f(2-x) = f(x)
f(2-2) = f(2)
f(0) = f(2) ===> Substituting in f(x) = (x-1)^2+3, f(0) = 3, f(2) = 4
Not true.
Step 4: III. f(x) = f(-x)
f(-x) = f(-2) ===> Substituting in f(x) = (x-1)^2+3, f(-2)= (-3)^2 +3 = 9+3 = 12
and we know that f(x)= f(2) = 4
Therefore, not true.
Step 1: I picked the number (2) and substituted it in the function f(x) = (x-1)^2+3
f(2) = 1^2+3 = 4
Step 2: I. 2f(x) = f(x-1) + f(x+1)
2f(2) = 2*4 = 8
f(x-1) + f(x+1) = f(2-1) + f(2+1) = f(1) + f(3) ===> Substituting f(1)+f(3) in f(x) = (x-1)^2+3 would equal 3 + (2)^2+3 = 3+4+3 = 10
Therefore, not true.
Step 3: II. f(2-x) = f(x)
f(2-2) = f(2)
f(0) = f(2) ===> Substituting in f(x) = (x-1)^2+3, f(0) = 3, f(2) = 4
Not true.
Step 4: III. f(x) = f(-x)
f(-x) = f(-2) ===> Substituting in f(x) = (x-1)^2+3, f(-2)= (-3)^2 +3 = 9+3 = 12
and we know that f(x)= f(2) = 4
Therefore, not true.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
06 Jun 2015, 01:24
Kudos
Bookmarks
try this
f(x) = f(x) ^ 2
this is true for 0 and 1 but not true for all X.
The question demands whats true for ALL VALUES OF X
in such ques , you can t pick numbers
you have to solve algebrically.
I am attaching solution in a pdf below. Check that out.
Kudos please , if it helps
f(x) = f(x) ^ 2
this is true for 0 and 1 but not true for all X.
The question demands whats true for ALL VALUES OF X
in such ques , you can t pick numbers
you have to solve algebrically.
I am attaching solution in a pdf below. Check that out.
Kudos please , if it helps
Attachments
Capture.PNG [ 52.91 KiB | Viewed 2366 times ]
File comment: Algebric solution to the question
solution.pdf [346.53 KiB]
Downloaded 120 times
06 Jun 2015, 03:05
Kudos
Bookmarks
rajgurinder
Thank you Raj. you answer really helped. :-D
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
