Answer the question.The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the fact that f(-1) = -
and f(1) =
, sketch the graph of f. Explain how you obtained the graph of f.

What will be an ideal response?
Graphs and explanations will vary to some degree. The graph of f should look similar to the following.
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Solve the problem.As part of an experiment to test different liquid fertilizers, a sprinkler has to be set to cover an area of 120 square yards in the shape of a sector of a circle of radius 40 yards. Through what angle should the sprinkler be set to rotate? If necessary, round the answer to two decimal places.
A. 4.3° B. 27° C. 6.44° D. 8.59°
Sketch the graph of the polynomial function.f(x) = x3 - 3
A.
B.
C.
D.
Solve the problem.Coffee is best enjoyed at a temperature of 119°F. A restaurant owner wants to discover the temperature T at which he should serve his coffee so that it will have cooled to this ideal temperature in 4 minutes. He discovers that a cup of coffee served at 200°F cools to 180°F in one minute when his restaurant is at 73°F. If he maintains the restaurant temperature at 73°F, at what temperature should he serve the coffee to meet his goal? Use Newton's law of cooling, f(t) = T0 + Ce-kt, where f(t) is the temperature at time t after being introduced into an environment with a constant temperature T0 and C and k are constants.
A. 159°F B. 200°F C. 164°F D. 184°F
Find the quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.vertex: (-5, -3) passing through: (-2, 6)
A. y = x2 + 5x + 3 B. y = -2x2 - 10x - 22 C. y = x2 + 10x + 22 D. y = - x2 + 10x + 3