Let f be a function with selected values given in the table above. Which of the following statements must be true? I. By the Intermediate Value Theorem, there is a value c in the interval (0,3) such that f(c)=10.
II. By the Mean Value Theorem, there is a value c in the interval (0,3) such that f′(c)=−2.
III. By the Extreme Value Theorem, there is a value c in the interval [0,3] such that f(c)≤f(x) for all x in the interval [0,3].

A. None

B. I only

C. II only

D. I, II, and III

When only separate discreet points are graphed it is called?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Graph the line y=4/3 x+1 . use the line tool and select two points on the line.