Chapter 2: Q. 1 (page 68)
The inequalitycan be written in interval notation as___________.
Short Answer
The interval notation is.
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Chapter 2: Q. 1 (page 68)
The inequalitycan be written in interval notation as___________.
The interval notation is.
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A wire of length xis bent into the shape of a circle.
Part (a): Express the circumference Cof the circle as a function of x.
Part (b): Express the areaAof the circle as a function ofx.
Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.
Motion of a Golf Ball A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the function
where x is the horizontal distance that the golf ball has traveled.
(a) Determine the height of the golf ball after it has traveled 100 feet.
(b) What is the height after it has traveled 300 feet?
(c) What is h(500)? Interpret this value.
(d) How far was the golf ball hit?
(e) Use a graphing utility to graph the function h = h(x).
(f) Use a graphing utility to determine the distance that the ball has traveled when the height of the ball is 90 feet.
(g) Create a TABLE with TblStart = 0 and = 25. To the nearest 25 feet, how far does the ball travel before it reaches a maximum height? What is the maximum height?
(h) Adjust the value of until you determine the distance, to within 1 foot, that the ball travels before it reaches a maximum height.
In Problems 45–52, for each graph of a function , find the absolute maximum and the absolute minimum, if they exist.

In Problems 53– 60, use a graphing utility to graph each function over the indicated interval and approximate any local maximum values and local minimum values. Determine where the function is increasing and where it is decreasing. Round answers to two decimal places.
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