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05 Feb 2019, 14:03
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
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Question Stats:
47% (01:22) correct
53%
(01:13)
wrong
based on 308
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Which of the following may be correctly expressed by the graph representation given above?
(A) y = |x|^2
(B) y = 2^x
(C) y = x^(-1/2)
(D) y = x^(-1)
(E) y = x^(-2)
GMATH practice exercise (Quant Class 4)
Attachment:
05-Fev19-8j.gif [ 2.5 KiB | Viewed 5076 times ]
Chethan92
Joined: 18 Jul 2018
Last visit: 21 Apr 2022
Posts: 899
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Given Kudos: 95
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy)
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06 Feb 2019, 01:29
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This is an exponential curve, where the Y coordinate value decreases as X coordinate value increases.
Only E satisfies.
Only E satisfies.
06 Feb 2019, 05:52
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fskilnik
\(?\,\,\,:\,\,\,{\rm{graph}}\,\,{\rm{association}}\)
From the figure given:
> We expect y to decrease whenever |x| increases, in other words, whenever x > 0 gets larger or x < 0 gets smaller (i.e., more negative).
> This is enough to refute (A) and (B).
> We expect y to be defined for all values of x, except when x is zero.
> This is enough to refute (C): when x < 0, x^(-1/2) is not defined.
> We expect y to be positive for all nonzero values of x.
> This is enough to refute (D): when x<0, x^(-1) is negative.
The correct answer is therefore (E), by exclusion!
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
P.S.: more quantitative mature students may also take into account the symmetry related to the y-axis, in the sense that we expect f(x) = f(-x) ...
