How do you determine whether # f(x) =(-x+5)# is an odd or even function?
1 Answer
Feb 4, 2016
neither
Explanation:
• If f(x) = f(-x) then f(x) is even
• If f(-x) = -f(x) then f(x) is odd
check for even : f(x)= -x+5 and f(-x) =-(-x)+5 = x+5
hence not even since f(x) ≠ f(-x)
check for odd : f(-x)= x+ 5 and -f(x) = -(-x+5) = x-5
hence not odd since f(-x) ≠ -f(x)
Since f(x) ≠ f(-x) and f(-x) ≠ -f(x) , function is neither odd nor even.
