Question

Determine whether f(x) = 4x + 3 is even, odd, or neither.

Answer 1

A function is even if

`f(-x)=f(x)`

A function is odd if

`f(-x)=-f(x)`

In this case, we have

`f(-x)=4(-x)+3 = -4x+3`

Since

`f(-x)=-4x+3\\eq 4x+3=f(x)`

The function is not even, and since

`f(-x)=-4x+3\\eq -4x-3=-f(x)`

the function is not odd, either.