How do you know if # f(x)=x^2+sin x# is an even or odd function?
In the question:
By signing up, you agree to our Terms of Service and Privacy Policy
To determine if ( f(x) = x^2 + \sin(x) ) is an even or odd function, we can apply the following tests:
 Even function: If ( f(x) = f(x) ) for all ( x ) in the domain of the function, then the function is even.
 Odd function: If ( f(x) = f(x) ) for all ( x ) in the domain of the function, then the function is odd.
For the function ( f(x) = x^2 + \sin(x) ):

To test for evenness, we substitute ( x ) into the function: [ f(x) = (x)^2 + \sin(x) = x^2  \sin(x) ]

To test for oddness, we substitute ( x ) into the function and compare it to ( f(x) ): [ f(x) = (x^2 + \sin(x)) = x^2  \sin(x) ]
Comparing ( f(x) ) with ( f(x) ) and ( f(x) ), we see that neither ( f(x) = f(x) ) nor ( f(x) = f(x) ) holds true.
Therefore, ( f(x) = x^2 + \sin(x) ) is neither an even nor an odd function.
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.
 How do you find the asymptotes for #f(x)=x/(x^2+4)#?
 How do you find the slant asymptote of # (x^31)/(x^26)#?
 How do you find [g of h](x) given #g(x)=82x# and #h(x)=3x#?
 How do you find the inverse of #f(x)=3+sqrt(x8)#?
 How do you find the vertical, horizontal or slant asymptotes for #y=(3x^2+x4) / (2x^25x) #?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7