How do you determine if #h(x)=e^(|x|)# is an even or odd function?
Observe that
By signing up, you agree to our Terms of Service and Privacy Policy
To determine if a function ( h(x) = e^{|x|} ) is even or odd:
-
Even function: If ( h(-x) = h(x) ) for all ( x ) in the domain, then ( h(x) ) is even.
-
Odd function: If ( h(-x) = -h(x) ) for all ( x ) in the domain, then ( h(x) ) is odd.
For the function ( h(x) = e^{|x|} ):
- Substituting ( -x ) into the function: ( h(-x) = e^{|-x|} = e^{|x|} = h(x) )
Since ( h(-x) = h(x) ) for all ( x ) in the domain, the function ( h(x) = e^{|x|} ) is an even function.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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 inverse of #f(x) = x / (x + 8) #?
- How do you find the inverse of #f(x)=root5(5x+4)#?
- How do you find the inverse of #y=x^2# and is it a function?
- How do you determine if #f(x) = 1/[(3x^3) - 4]# is an even or odd function?
- How do you find all the asymptotes for function #f(x)=[(5x+3)/(2x-3)]+1#?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7