Mathematics: Determine if the following are odd, even, or neither. 1. f(x)=3x^4+x^2+1 2. f(x)=x^4-3x^3+x

Determine if the following are odd, even, or neither.

Ответ:

keelahbrown09

04.01.2022

$f(x)=3x^4+x^2+1\\
f(-x)=3\cdot(-x)^4+(-x)^2+1=3x^4+x^2+1\\
f(-x)=f(x)\Rightarrow \text{ even}\\\\\\
f(x)=x^4-3x^3+x\\
f(-x)=(-x)^4-3\cdot(-x)^3-x=x^4+3x^3-x\\
f(-x)\not = f(x)\Rightarrow \text{ not even}\\\\
-f(x)=-(x^4-3x^3+x)=-x^4+3x^3-x\\
-f(x)\not=f(-x)\Rightarrow \text{ not odd}\\\Downarrow\\
\text{neither}$

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Ответ:

SKYBLUE1015

04.10.2020

Mathematics

A. is the equilateral triangle because all sides are equal

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Determine if the following are odd, even, or neither.
1. f(x)=3x^4+x^2+1

2. f(x)=x^4-3x^3+x

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