For each of the functions below:

1.List the open intervals on which f is increasing

2.List the open intervals on which f is decreasing

3.List all points at which f has a local maximum. Enter your answers as ordered pairs

4.List all points at which f has a local minimum. Enter your answers as ordered pairs

5.List the open intervals on which f is concave up

6.List the open intervals on which f is concave down

7.List all inflection points of f. Enter your answers as ordered pairs

Technical Notes: -Please consider the endpoints for local extrema

-Where applicable,if you have points for which f?(x)=0 that are not inflection points, because f has the same concavity on both sides of that x-value, DO include such points in your concave up and concave down intervals.

jet f(x) = cos"(x) - 2 sin(x) on the domain 0