Sketch the graph of the equation
y = sinx −(1/2)sin2x for −2π ≤ x ≤ 2π .

Label (where they exist) intercepts, all critical points, local minima and local maxima, points of inflection, and asymptotes. Label every feature with its co-ordinates or equation as appropriate.

Note: In this question you may calculate the approximate values of the points of inflection correct to the nearest hundredth

Question

Sketch the graph of the equation   
y = sinx −(1/2)sin2x  for  −2π ≤ x ≤ 2π .

Label (where they exist) intercepts, all critical points, local minima and local maxima, points of inflection, and asymptotes.  Label every feature with its co-ordinates or equation as appropriate.

Note: In this question you may calculate the approximate values of the points of inflection correct to the nearest hundredth