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The function f is defined for all numbers
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02 Dec 2019, 03:07
02 Dec 2019, 03:07
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The function \(f\) is defined for all numbers \(x\) by \(f(2x) = x^2-2x+8\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
\(f(6)\) |
\(12\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The function f is defined for all numbers
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02 Dec 2019, 08:28
02 Dec 2019, 08:28
3
Carcass wrote:
The function \(f\) is defined for all numbers \(x\) by \(f(2x) = x^2-2x+8\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
\(f(6)\) |
\(12\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
GIVEN: f(2x) = x² - 2x + 8
So, to evaluate f(6), we must first recognize that 6 = 2(3)
So, when x = 3, f(6) = f[(2)(3)] = 3² - 2(3) + 8 = 9 - 6 + 8 = 11
We get:
QUANTITY A: 11
QUANTITY B: 12
Answer: B
Cheers,
Brent
Re: The function f is defined for all numbers
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13 Jun 2022, 02:44
13 Jun 2022, 02:44
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Thanks to another GRE Prep 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.
