For the given function, complete all parts in order to sketch the graph of the function. 3. f(x) = sinx + cosx; (0, 2r) a. Set x=0 and find any y-intercepts. Write the answer(s) as coordinate point(s). b. Set y=0 and find any x-intercepts. Write the answer(s) as coordinate point(s). c. Find the derivative and set it equal to zero to solve for any critical points. d. Complete the first derivative test to identify where the function is increasing or decreasing and to identify any relative extrema. Your intervals should be in interval notation and any relative extrema should be written as coordinate points. e. Complete the second derivative test to identify where the function is concave up or concave down and to identify any points of inflection. Your intervals should be in interval notation and any points of inflection should be written as coordinate points. f. Sketch the graph of the function. 10 2
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