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# If x is a number such that -2 ≤ x ≤ 2, which of

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Director
Joined: 26 Feb 2006
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If x is a number such that -2 â‰¤ x â‰¤ 2, which of [#permalink]  12 Jan 2007, 22:44
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Difficulty:

(N/A)

Question Stats:

75% (01:00) correct 25% (00:43) wrong based on 63 sessions
If x is a number such that -2 ≤ x ≤ 2, which of the following has the largest possible absolute value?

1. 3x - 1
2. x^2 + 1
3. 3 â€“ x
4. x â€“ 3
5. x^2 â€“ x
SVP
Joined: 01 May 2006
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Kudos [?]: 102 [1] , given: 0

1
KUDOS
(A) for me

1) |3*x-1| is peaking when x=-2 at |3*-2 - 1| = 7

2) |x^2 + 1| is peaking when either x=2 or x=-2 at |2^2 + 1| = 5

3) |3 - x| is peaking when x=-2 at |3 - (-2)| = 5

4) |x - 3| is peaking when x=-2 at |(-2) - 3| = 5

2) |x^2 - x| = |x*(x-1)| is peaking when x=-2 (the farest value of x from the roots 0 and 1) at |(-2)^2 - (-2)| = 6
Senior Manager
Joined: 24 Nov 2006
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AK wrote:
Agree with Fig, Master of Absolute

Yep. One more for A (good job, Fig).

As the stem asks for the highest absolute value, one can just plug in the value of x that will make the corresponding expression peak. For example, in "3 - x" one has to use x = -2 to get 3 -- 2 = 5. With practice this is immediate.
SVP
Joined: 01 May 2006
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Thanks guys
Manager
Joined: 27 Oct 2008
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Re: PS: Absolute Value [#permalink]  10 Sep 2009, 10:19
Ans is A .. leads to the max value of 7 for x = -2
Re: PS: Absolute Value   [#permalink] 10 Sep 2009, 10:19
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