How do you determine if #F(x) = x^21# is an even or odd function?
Observe that
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To determine if ( F(x) = x^2  1 ) is an even or odd function, we evaluate ( F(x) ) and compare it with ( F(x) ).
If ( F(x) = F(x) ) for all ( x ) in the function's domain, then the function is even.
If ( F(x) = F(x) ) for all ( x ) in the function's domain, then the function is odd.
For ( F(x) = x^2  1 ):

Evaluate ( F(x) ): ( F(x) = (x)^2  1 = x^2  1 )

Compare ( F(x) ) with ( F(x) ): ( F(x) = F(x) )
Since ( F(x) = F(x) ) for all ( x ), the function ( F(x) = x^2  1 ) is an even function.
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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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