How do you determine if #f(x) = x1# is an even or odd function?
Neither.
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To determine if ( f(x) = x1 ) is an even or odd function, we can use the definition of even and odd functions.
 Even function: ( f(x) ) is even if ( f(x) = f(x) ) for all ( x ) in the function's domain.
 Odd function: ( f(x) ) is odd if ( f(x) = f(x) ) for all ( x ) in the function's domain.
For the function ( f(x) = x1 ), let's evaluate both ( f(x) ) and ( f(x) ):

For ( f(x) ): [ f(x) = (x)1 = (x+1) = x+1 ]

For ( f(x) ): [ f(x) = x1 ]
Now let's compare ( f(x) ) and ( f(x) ): [ x+1 \neq x1 ]
Since ( f(x) ) is not equal to ( f(x) ), the function ( f(x) = x1 ) does not satisfy the condition for being even.
Next, let's check if it's odd by comparing ( f(x) ) and ( f(x) ): [ f(x) = x1 = (x1) = 1x ]
Since ( f(x) ) is not equal to ( f(x) ), the function ( f(x) = x1 ) does not satisfy the condition for being odd.
In conclusion, ( f(x) = x1 ) is neither an even nor an odd 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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