How do you determine if #F(x)=x^3x # is an even or odd function?
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To determine if a function ( F(x) = x^3  x ) is even or odd, we need to check its symmetry properties.

Even Function: A function is even if ( F(x) = F(x) ) for all values of ( x ). For ( F(x) = x^3  x ), we evaluate ( F(x) = (x)^3  (x) = x^3 + x ). Since ( F(x) ) is not equal to ( F(x) ), the function ( F(x) = x^3  x ) is not even.

Odd Function: A function is odd if ( F(x) = F(x) ) for all values of ( x ). For ( F(x) = x^3  x ), we evaluate ( F(x) = (x^3 + x) = x^3  x ). Since ( F(x) = F(x) ), the function ( F(x) = x^3  x ) is odd.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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