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# Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what  [#permalink]

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24 Oct 2018, 01:19
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15% (low)

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79% (01:01) correct 21% (01:27) wrong based on 35 sessions

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[Math Revolution GMAT math practice question]

Suppose $$f(x)=ax^4+bx^2+1$$, where $$a$$ and $$b$$ are constants. If $$f(3)=9$$, what is the value of $$f(-3)$$ ?

$$A. -9$$
$$B. -3$$
$$C. 0$$
$$D. 3$$
$$E. 9$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" VP Status: Learning stage Joined: 01 Oct 2017 Posts: 1008 WE: Supply Chain Management (Energy and Utilities) Re: Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what [#permalink] ### Show Tags 24 Oct 2018, 02:15 MathRevolution wrote: [Math Revolution GMAT math practice question] Suppose $$f(x)=ax^4+bx^2+1$$, where $$a$$ and $$b$$ are constants. If $$f(3)=9$$, what is the value of $$f(-3)$$ ? $$A. -9$$ $$B. -3$$ $$C. 0$$ $$D. 3$$ $$E. 9$$ Notice that the given polynomial function f(x) contains even exponents of x, i.e, $$x^4$$ and $$x^2$$. Hence f(x) is an even function. Therefore f(-x)=f(x) Hence, f(-3)=f(3)=9. Ans. (E) _________________ Regards, PKN Rise above the storm, you will find the sunshine Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7368 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what [#permalink] ### Show Tags 26 Oct 2018, 00:54 1 => $$f(3) =a(3)^4 + b(3)^2 + 1 = 81a + 9b + 1 = 9$$ $$f(-3) =a(-3)^4 + b(-3)^2 + 1 = 81a + 9b + 1 = f(3) = 9$$ Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what   [#permalink] 26 Oct 2018, 00:54
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# Suppose f(x)=ax^4+bx^2+1, where a and b are constants. If f(3)=9, what

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