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If f(x)=x^2-5
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Updated on: 04 Jun 2021, 23:15
Updated on: 04 Jun 2021, 23:15
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57% (01:15) correct
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If \(f(x)=x^2-5\), which of the following must be true ?
select all that apply
A. \(f(-3)=|f(-3)|\)
B. \(f(-2)=-|f(-2)|\)
C. \(f(1)<|f(-1)|\)
D. \(f(0)=|f(0)|\)
E. \(f(2)=|f(2)|\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
select all that apply
A. \(f(-3)=|f(-3)|\)
B. \(f(-2)=-|f(-2)|\)
C. \(f(1)<|f(-1)|\)
D. \(f(0)=|f(0)|\)
E. \(f(2)=|f(2)|\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: If f(x)=x^2-5
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19 May 2021, 23:59
19 May 2021, 23:59
Carcass wrote:
If \(f(x)=x^2-5\), which of the following must be true ?
select all that apply
A. \(f(-3)=|f(-3)|\)
B. \(f(-2)=-|f(-2)|\)
C. \(f(1)<|f(-1)|\)
D. \(f(0)=|f(0)|\)
E. \(f(2)=|f(2)|\)
select all that apply
A. \(f(-3)=|f(-3)|\)
B. \(f(-2)=-|f(-2)|\)
C. \(f(1)<|f(-1)|\)
D. \(f(0)=|f(0)|\)
E. \(f(2)=|f(2)|\)
A. \(f(-3)=|f(-3)|\)
\(f(-3) = (-3)^2 - 5 = 4\)
\(|f(-3)| = |(-3)^2 - 5| = 4\)
B. \(f(-2)=-|f(-2)|\)
\(f(-2) = (-2)^2 - 5 = -1\)
\(-|f(-2)| = -|(-2)^2 - 5| = -1\)
C. \(f(1)<|f(-1)|\)
\(f(1) = (1)^2 - 5 = -4\)
\(|f(-1)| = |(-1)^2 - 5| = 4\)
D. \(f(0)=|f(0)|\)
\(f(0) = (0)^2 - 5 = -5\)
\(|f(0)| = |(0)^2 - 5| = 5\)
E. \(f(2)=|f(2)|\)
\(f(2) = (2)^2 - 5 = -1\)
\(|f(2)| = |(2)^2 - 5| = 1\)
Hence, option A, B and C
