# Thread: Trigonometric curve sketching questions

1. ## Trigonometric curve sketching questions

Use the function y= sin x + cos x to determine all stationary points and classify as minima or maxima?

Locate any points of inflection.
Determine endpoints of the interval and sketch the graph.

Domain is between 0 and pi.

2. Originally Posted by lara12125
Use the function y= sin x + cos x to determine all stationary points and classify as minima or maxima?

Locate any points of inflection.
Determine endpoints of the interval and sketch the graph.

Domain is between 0 and pi.
... have you determined y' and y'' and found their associated critical values to start an analysis of the function?

3. Originally Posted by skeeter
... have you determined y' and y'' and found their associated critical values to start an analysis of the function?
Yep.. I'm at the sketching part...

4. Originally Posted by lara12125
Yep.. I'm at the sketching part...
... then you should have already plotted the function's endpoints, zeros, relative extrema, and points of inflection and are ready to "connect the dots".

on what intervals is the function increasing or decreasing?

on what intervals is the function concave up or down?