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For which of the following function is f(-1/2)>f(2)?
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07 Oct 2022, 01:54
07 Oct 2022, 01:54
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Question Stats:
70% (01:47) correct
29% (01:33) wrong based on 17 sessions
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For which of the following function is f(-1/2)>f(2)?
A. f(x)=3x^2
B. f(x)=3x
C. f(x)=3+x^2
D. f(x)=3+1/x
E. f(x)=3/x^2
A. f(x)=3x^2
B. f(x)=3x
C. f(x)=3+x^2
D. f(x)=3+1/x
E. f(x)=3/x^2
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GMAT 1: 700 Q51 V31
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For which of the following function is f(-1/2)>f(2)?
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07 Oct 2022, 10:06
07 Oct 2022, 10:06
1
We need to find For which of the following function is f(-1/2)>f(2)
Now f(-1/2) > f(2)
If we look at the numbers inside the bracket then we need to make an expression consisting of -1/2 which has to be greater than the expression consisting of 2
1. We have - sign on one side (for -1/2) and + on the other (+2) and the expression for - sign has to be greater
=> We need to look for even powers in the expression so that - gets converted to +
2. We have fraction on one side (for -1/2) and integer on the other (+2) and the expression for fraction has to be greater
=> We need to look for an expression where x is in the denominator
Only option choice which satisfies these two conditions is f(x)=3/x^2
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
Now f(-1/2) > f(2)
If we look at the numbers inside the bracket then we need to make an expression consisting of -1/2 which has to be greater than the expression consisting of 2
1. We have - sign on one side (for -1/2) and + on the other (+2) and the expression for - sign has to be greater
=> We need to look for even powers in the expression so that - gets converted to +
2. We have fraction on one side (for -1/2) and integer on the other (+2) and the expression for fraction has to be greater
=> We need to look for an expression where x is in the denominator
Only option choice which satisfies these two conditions is f(x)=3/x^2
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
gmatclubot
For which of the following function is f(-1/2)>f(2)? [#permalink]
07 Oct 2022, 10:06
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