Given f(x)= sin x, g(x)= cos 2x, how do you graph h(x)= (f-g)(x)?

1 Answer
Oct 17, 2015

The best way is to use technology. The graph is fairly interesting because of the different frequencies involved in the difference of these functions.


Here is the graph:

graph{sin(x)-cos(2x) [-5, 5, -2.5, 2.5]}

You might want to also see if you can understand why the graph looks this way by plotting #f# and #g# individually and looking at the "signed distance" between them (vertically-speaking, for each fixed value of #x#).