How do you determine if #f(x)=-(x-5) # is an even or odd function?

1 Answer
Cesareo R.
May 16, 2016

#f(x) = -(x-5)# is neither odd or even.

Explanation:

An odd function obeys #f(x) = -f(-x)#. Examples: #x, x^3, sin(x) #
Even functions obey #f(x) = f(-x)#. Examples: #1, x^2, cos(x)#
The function #f(x)=-(x-5)# is neither odd or even. Odd continuous functions obey #f(0)=0# Our function has #f(0)=5#. An even function obeys #f(5)=f(-5)#. Our function has #f(5)=0, f(-5) = 10#

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