This exercise analyzes the function f(x) whose derivative f'(x)is graphed below. The domain of this function is the interval [-3,4].This exercise analyzes the function f(x) whose derivative r'(x){:-3,4].(a) Find the intervals on which f(x)is increasing and the intervals on which itis decreasing. (Enter your answers as comma-separated lists of intervals.)increasingdecreasing(b) Find the x-coordinates that produce the local maximum and local minimum off(x).(Local extrema may fall at endpoints. Enter your answers as comma-separated lists.)local maximum ,x=local minimum ,x=(c) Find the intervals on which f(x)is concave up and the intervals on which itis concave down. (Enter your answers as comma-separated lists of intervals.)concave upconcave down(d) Find the x-coordinates of the points of inflection off(x).(Enter your answers as a comma-separated list.)x=(e) Sketch a possible graph off(x) assuming f(0)=1.