Hi, sorry to post another question about curve sketching (this is my last one) but I am having difficulties with the following function:
f(x) = cosx - sinx
If someone could provide a sketch of what this function looks like that would be great, that way I have something to work towards. I've done all the calculus work but I'm having a real hard time making sense of it.
- the y-int: y=1
- the zeros: x=(pi)/4 and 5(pi)/4
- niether odd or even
- no asymptotes
- increasing everywhere (I'm really not sure if that is right)
- no local max/min
- concave down everywhere (I'm also not sure if that is right)
- no inflection points
I've had no luck graphing this so I'm sure I've made a big mistake somewhere. Any help at all would be great!