How do you determine if #F(x) = x + 3# is an even or odd function?
neither even nor odd.
Check if F(x) is even or odd by taking into account the following.
• F(x) is even if it equals F(x).
There is symmetry in functions about the yaxis.
• F(x) is odd if F(x) =  F(x).
About the origin, odd functions exhibit halfturn symmetry.
Check for even
F(x) is equal to (x) + 3 (x + 3 ≠ F(x)
F(x) is not even since F(x) ≠ F(x)
Check for odd
F(x) is not odd since F(x) ≠  F(x)
F(x) is therefore neither odd nor even. graph{x+3 [10, 10, 5, 5]}
By signing up, you agree to our Terms of Service and Privacy Policy
To determine if ( F(x) = x + 3 ) is an even or odd function, you can use the properties of even and odd functions.

Even Function: A function ( f(x) ) is even if ( f(x) = f(x) ) for all ( x ) in the domain of ( f ).

Odd Function: A function ( f(x) ) is odd if ( f(x) = f(x) ) for all ( x ) in the domain of ( f ).
Now, let's apply these definitions to ( F(x) = x + 3 ):

Check for evenness: [ F(x) = x + 3 ] [ F(x) = x + 3 ]
Since ( F(x) ) is not equal to ( F(x) ), ( F(x) = x + 3 ) is not an even function.

Check for oddness: [ F(x) = x + 3 ] [ F(x) = (x + 3) = x  3 ]
Since ( F(x) ) is not equal to ( F(x) ), ( F(x) = x + 3 ) is not an odd function.
Therefore, ( F(x) = x + 3 ) is neither even nor odd.
By signing up, you agree to our Terms of Service and Privacy Policy
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.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7