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- 2. The probability in minutes of being waited on in a large chain restaurant is given by the frequency function f(t) = t³;0< t< 3. What is the probability of being waited on 81 between 1 and 2 minutes?1. Where is it concave up and concave down? 2. In what interval/s is the function increasing? 3. What is/are the point of inflection/s of the function? 4. If the graph is differentiated, on what interval along the x-axis does it satisfy the Mean Value Theorem?3. A continuous function f is defined on the closed interval -4≤x≤4. The graph of the function, shown in the figure to the right consists of a line and two curves. There is a value a, -4≤a<4, for which the Mean Value Theorem, applied to the interval [a,4] guarantees a value c, a ≤ c <4 at which f'(c)=3. What are possible values of a? I. -4 II. 0 III. 2 A. I only B. II only D. II and III only E. I, II and III C. III only co (-4,-12) -2 4 12 10 8 6 4 2 -2 -4 -6 -8 -10 -12 1 (2,6) 2 3 (4.12)
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