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If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?
(1) |k| = 3
(2) k < 0
(2) k < 0
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 ...
(1) |k| = 3
From this statement, we know that the absolute value of k is 3. Since the absolute value always gives a positive value, we can conclude that k is either 3 or -3.
For k = 3:
Using the given function, f(x) = 27x for x ≥ 0, we can substitute x = 3:
f(3) = 27 * 3 = 81
Using the given function, f(x) = 27x for x ≥ 0, we can substitute x = 3:
f(3) = 27 * 3 = 81
For k = -3:
Using the given function, f(x) = x4 for x < 0, we can substitute x = -3:
f(-3) = (-3)4 = 81
Using the given function, f(x) = x4 for x < 0, we can substitute x = -3:
f(-3) = (-3)4 = 81
Therefore, regardless of whether k is 3 or -3, the value of f(k) is 81.
(2) k < 0
From this statement, we know that k is negative. However, this alone doesn't provide enough information to determine the value of f(k). We need to know the exact value of k to evaluate the function accurately.
By analyzing each statement individually, we can see that statement (1) alone is sufficient to determine the value of f(k), but statement (2) alone is not sufficient. Hence, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
Question Description
If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
Solutions for If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of If f is the function defined by f(x) = 27x for x ≥ 0 and f(x) = x4 for x < 0, what is the value of f (k)?(1) |k| = 3(2) k < 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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