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24 Oct 2018, 05:10
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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59% (01:13) correct
41%
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wrong
based on 111
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If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x^4 for x < 0, what is the value of f (k)?
(1) |k| = 3
(2) k < 0
(1) |k| = 3
(2) k < 0
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Updated on: 24 Oct 2018, 06:14
Originally posted by Salsanousi on 24 Oct 2018, 05:46.
Last edited by Salsanousi on 24 Oct 2018, 06:14, edited 2 times in total.
Last edited by Salsanousi on 24 Oct 2018, 06:14, edited 2 times in total.
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Bunuel
Statement 1) satisfies both functions because k can be -3 or 3.
\(27*3 = 81\)
\((-3)^4 = 81\)
Sufficient.
Statement 2) k < 0 but we don't know if k = -1 or -2 or any other value.
Insufficient.
I originally made a careless mistake of not substituting in the equation and choose answer choice
Thanks to nkin for pointing it out!
Correct answer choice is A
24 Oct 2018, 06:05
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Stmt 1:
k = +3 or -3,
If k = 3 then, f(k) = 27*3 = 81
If k = -3, then, f(k) = (-3)^4 = 81
Since we get the same value of f(k) for both values of k, Stmt 1 is sufficient.
Eliminate B, C, E
Stmt 2:
k < 0
Hence f(k) = k^4
But if k = -1, f(k) = 1, if k = -2, f(k) = 16, and so on. As we get different values, for different values of k, Stmt 2, is insufficient.
Hence, option A
k = +3 or -3,
If k = 3 then, f(k) = 27*3 = 81
If k = -3, then, f(k) = (-3)^4 = 81
Since we get the same value of f(k) for both values of k, Stmt 1 is sufficient.
Eliminate B, C, E
Stmt 2:
k < 0
Hence f(k) = k^4
But if k = -1, f(k) = 1, if k = -2, f(k) = 16, and so on. As we get different values, for different values of k, Stmt 2, is insufficient.
Hence, option A
