Question

Is the function of f(x) = |sin(x)| even, odd, or neither?

Answer 1

http://www.wolframalpha.com/input/?i=Is+the+function+of+f%28x%29+%3D+%7Csin%28x%29%7C+even%2C+odd%2C+or+neither%3F

Answer 2

Even :)

Answer 3

To test whether its even or odd, test:\[f(-x)=-f(x)\] or.. \[f(-x)=f(x)\]

Answer 4

If you put in a negative x-value and you get an even answer, then your function is even.

Answer 5

\[
f(-x)=|\sin(-x)| = |-\sin(x)| = |\sin(x)| =f(x)
\]We know \(\sin(-x)=-\sin(x)\) from the unit circle. Negative angles just have you rotate clockwise under the \(x\) axis by the same height.