How do you determine if #f(x) = x+1 # is an even or odd function?
1 Answer
Mar 31, 2016
neither
Explanation:
To determine if a function is even/odd the following applies.
• If f(x) = f( -x) then function is even ,
#AAx# Even functions have symmetry about the y-axis.
• If f( -x) = - f(x) then function is odd ,
#AAx # Odd functions have symmetry about the origin.
Test for even :
f( - x) = (-x) + 1 = -x + 1 ≠ f(x) , hence function is not even
Test for odd :
# - f(x) = -(x + 1) = -x - 1 ≠ f( -x) # → not odd
