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Determine whether each polynomial function is even, odd, or neither.$f(x)=2 x^{3}$...

Question

Determine whether each polynomial function is even, odd, or neither.$f(x)=2 x^{3}$

Determine whether each polynomial function is even, odd, or neither. $f(x)=2 x^{3}$



Answers

Determine whether each function is even, odd,or neither.
$$f(x)=x^{3}+x$$

So we have the functions. I love eggs. Is he good? X cubed minus X To find out if dysfunction is odd, even neither we need to find out what of negative X is equal to. So we have negative X cubed minus negative X Would you single too? Negative X cubed plus x recall that this right here It's also equal to negative of axe because negative off of axes you couldn't get executed plus X So we see that this right here is you got to this therefore you just determined that half of negative x the secret to negative Kovacs making f of X nod function.

So here's your aftereffects. Is it good to X squared minus X to the fold, plus one. So if we want to find a negative X, we have negative X squared minus negative X to the fourth power post one. What do you see? What They're X squared money, sex to the four post one. And since Africa negative. Next is you going after necks. We know that Max is even.

So here we have thanks is equal to to exclude close next to the whole post one, which means that half of negative X is it with two times negative X squared. What's the name Rex to the booth? Most one. The musical, The two X squared, plus extra for post one. So since we know that African negative X is equal to vex, that means that effort Biggs News even function.

They have been given a function that f off X is equal to four x. Q. We need to determine whether the function is an even our function or nine. So for that we will put Air Force minus eccentric, so F minus X will be ableto four. Multiply with minus X, all cute, which will be equal toe minus four x Q, which will be able to minus off FF. It's so. Therefore, efforts minus X is equal toe Mind us off effects. It means that if X is on odd function


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