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OpenStudy9
 one year ago
Is y=(x^3)+1 and Even or Odd Function???
OpenStudy9
 one year ago
Is y=(x^3)+1 and Even or Odd Function???

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FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1Can you tell me what it means for something to be even or odd?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1What are the definitions of each term?

OpenStudy9
 one year ago
Best ResponseYou've already chosen the best response.0Well, if a function is Even, than the negative of it is the same as the positive of it. If it is Odd, than \[f(x)=f(x)\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1Good on definition, now, pick a convenient number, say x=1 and see which definition holds

OpenStudy9
 one year ago
Best ResponseYou've already chosen the best response.01^3 +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!?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1You just proved that it is not odd and that it is not even.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1now, 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.

OpenStudy9
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I see! THank YOU

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1wait hold on a sec. One issue

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1I missed something in your work

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1I 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
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