Question

sketch y = cos x + |cos x|

Answer 1

for the intervals when cos(x) is positive, the function is going to be:
\[y = \cos(x)+\cos(x) = 2\cos(x)\]
when cos(x) is negative the function will be:
\[y = \cos(x)-\cos(x) = 0\]
so basically, from 0 to pi/2, and 3pi/2 to 2pi, it will be the graph of 2cos(x)
from pi/2 to 3pi/2 it will be 0

Answer 2

wow smart joe

Answer 3

http://www.wolframalpha.com/input/?i=cos%28x%29%2B |cos%28x%29|

Answer 4

we had an awesome problem a few weeks back where we abused the results of adding something like:
f(x)+|f(x)|
together. thats the only reason i knew where this was going lol

Answer 5

lol no but that's awesome to know,