Question

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

Answer 1

`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`