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f (x) = x^2 + 2^x for all integers x. f (k)
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30 Nov 2023, 23:50
30 Nov 2023, 23:50
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Question Stats:
30% (02:20) correct
70% (01:19) wrong based on 10 sessions
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f(x)=x2+2x for all integers x. f(k)=32
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
k |
0 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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f (x) = x^2 + 2^x for all integers x. f (k)
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01 Dec 2023, 19:05
01 Dec 2023, 19:05
1
When the comparison column is 0, I find that it is a good tactic to consider -1 and 1 as inputs for k, as well as when k = 0.
f(−1)=32
f(0)=1
f(1)=3
f(-1) gets us exactly one of the solutions. However, we can see there is also some value of k between 0 and 1 that would get us 32. (The exact value of this k isn't necessary to answer this question, just that it's greater than 0.)
Therefore, there are 2 solutions for k on both sides of 0, so the answer is D.
f(−1)=32
f(0)=1
f(1)=3
f(-1) gets us exactly one of the solutions. However, we can see there is also some value of k between 0 and 1 that would get us 32. (The exact value of this k isn't necessary to answer this question, just that it's greater than 0.)
Therefore, there are 2 solutions for k on both sides of 0, so the answer is D.
gmatclubot
f (x) = x^2 + 2^x for all integers x. f (k) [#permalink]
01 Dec 2023, 19:05
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