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For which of the following functions does f(x) = f(x) for all values
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22 Sep 2022, 01:30
22 Sep 2022, 01:30
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For which of the following functions does \(f(x) = f(–x)\) for all values of x?
A. \(f(x) = x^3 + 3\)
B. \(f(x) = –x\)
C. \(f(x) = 2x + 3\)
D. \(f(x) = (–x)^2 + 2\)
E. \(f(x) = 5x – 4\)
A. \(f(x) = x^3 + 3\)
B. \(f(x) = –x\)
C. \(f(x) = 2x + 3\)
D. \(f(x) = (–x)^2 + 2\)
E. \(f(x) = 5x – 4\)
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Joined: 12 Sep 2015
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Re: For which of the following functions does f(x) = f(x) for all values
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22 Sep 2022, 06:24
22 Sep 2022, 06:24
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Top Contributor
Bunuel wrote:
For which of the following functions does \(f(x) = f(–x)\) for all values of x?
A. \(f(x) = x^3 + 3\)
B. \(f(x) = –x\)
C. \(f(x) = 2x + 3\)
D. \(f(x) = (–x)^2 + 2\)
E. \(f(x) = 5x – 4\)
A. \(f(x) = x^3 + 3\)
B. \(f(x) = –x\)
C. \(f(x) = 2x + 3\)
D. \(f(x) = (–x)^2 + 2\)
E. \(f(x) = 5x – 4\)
Test a value of x.
For example, if \(x = 3\), we're looking for a function such that \(f(3) = f(–3)\)
A. \(f(3) = 3^3 + 3 = 30\) and \(f(-3) = (-3)^3 + 3 = -24\). \(f(3) ≠ f(-3)\). ELIMINATE
B. \(f(3) = –3\) and \(f(-3) = –(-3) = 3\). \(f(3) ≠ f(-3)\). ELIMINATE
C. \(f(3) = 2(3) + 3 = 9\) and \(f(-3) = 2(-3) + 3 = -3\)]. \(f(3) ≠ f(-3)\). ELIMINATE
D. \(f(3) = (–3)^2 + 2 = 11\) and \(f(-3) = (–(-3))^2 + 2 = 11\). ]. \(f(3) = f(-3)\). KEEP
E. \(f(3) = 5(3) – 4 = 11\) and \(f(-3) = 5(-3) – 4 = -19\)]. \(f(3) ≠ f(-3)\). ELIMINATE
By the process of elimination, the correct answer is D
For which of the following functions does f(x) = f(x) for all values
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01 Oct 2022, 03:15
01 Oct 2022, 03:15
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2
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Expert Reply
Bunuel wrote:
For which of the following functions does \(f(x) = f(–x)\) for all values of x?
A. \(f(x) = x^3 + 3\)
B. \(f(x) = –x\)
C. \(f(x) = 2x + 3\)
D. \(f(x) = (–x)^2 + 2\)
E. \(f(x) = 5x – 4\)
A. \(f(x) = x^3 + 3\)
B. \(f(x) = –x\)
C. \(f(x) = 2x + 3\)
D. \(f(x) = (–x)^2 + 2\)
E. \(f(x) = 5x – 4\)
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