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The function f is defined as follows:

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The function f is defined as follows: [#permalink] New post   06 May 2021, 05:10
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The function f is defined as follows:


\(f(x)=3x^4+5x^2+7\)

Quantity A
Quantity B
\(f(32)\)
\(f(-32)\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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C
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Re: The function f is defined as follows: [#permalink] New post   06 May 2021, 08:30
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It took me 10 seconds to solve this one!!

Solution:

As we are given equation and we need to substitute 32 & -32
But before solving such a tedious equation check out the equation, the equation has even root. This means that, irrespective of the sign of the number we are substituting we will get the same final answer in this case the number is 32.

Therefore, Qty A= Qty B

IMO C

Hope this helps!
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Re: The function f is defined as follows: [#permalink] New post   03 Jul 2021, 04:43
\(f(x)=3x^4+5x^2+7\)

Since the function has only even powers of x so f(x) = f(-x) [As after squaring the negative sign will become positive]

So, Quantity A (f(32)) = Quantity B(f(-32))


So, answer will be C
Hope it helps!

To learn more about Functions watch the following video

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Re: The function f is defined as follows: [#permalink]
03 Jul 2021, 04:43
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