Is y=(x^3)+1 and Even or Odd Function???

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Is y=(x^3)+1 and Even or Odd Function???

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Can you tell me what it means for something to be even or odd?
What are the definitions of each term?
Well, if a function is Even, than the negative of it is the same as the positive of it. If it is Odd, than \[-f(x)=f(-x)\]

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Other answers:

Is it Odd??
Good on definition, now, pick a convenient number, say x=1 and see which definition holds
1^3 +1 is 2. (-1)^3 +1= 0 so not even, 1^3 +1 is 2, and -(1^3 +1) is -2. So the Answer is Neither!?
yep yep :)
Thanks!!!
You just proved that it is not odd and that it is not even.
now, if it was only x^3 it would be a different story. you would find that it is odd. So if it is asking if the mother function is even or odd, it would be odd.
Oh, I see! THank YOU
wait hold on a sec. One issue
I missed something in your work
I skimmed sorry. so here: "1^3 +1 is 2. (-1)^3 +1= 0 so not even, 1^3 +1 is 2, and \[\color\red{-(1^3 +1)}\] is -2. So the Answer is Neither!?" What is marked in red, isn't actually f(-x). f(-x) is (-1)^3+1 when f(x) is 1^3+1
OK

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