PRECALCULUS FUNCTIONS AND GRAPHS DUGOPOLSKI PDF

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What is the average rate of change of the cost of printing as the number of cards goes from to ? The area of a rectangle is 30 square feet. Write the perimeter of this rectangle as a function of the length of one of its sides, B.

The grade on Walker's math test varies directly with the number of hours he spends studying for the test. If he studies only 2 hours, he makes a What will his score be if he studies for 3 hours? Find and simplify each of the following. The perimeter of a rectangle is 10 square feet. Write the area of this rectangle as a function of the length of one of its sides, B. What is the average rate of change of the cost of the advertising as the number of flyers goes from to ? If the cost varies jointly as the length and width, then what does an 8-foot by foot deck cost?

Determine whether each relation defines C as a function of B. Which of the following define C as a function of B? A, B, E. The area of a rectangle is 20 square feet. Write a formula with the appropriate variation constant that describes the variation of the length of a building in yards C with the length of a building in inches 8.

B, D, F. Choose the one alternative that best completes the statement or answers the question. For the given pair of variables determine whether a is a function of b, b is a function of a, both, or neither. A a is a function of b B Both C b is a function of a D Neither Answer: D 2 a is the radius of any spherical bowling ball, and b is its volume.

A b is a function of a B Both C Neither. Answer: B 3 a is the savings account number of a customer at a bank, and b is the number of years the account has been active. Answer: B Determine whether the relation is a function. Answer: B Find the domain and range. After 12 minutes, the bell is at a depth of feet. After 50 minutes the bell is at a depth of feet.

What is the average rate of lowering per minute? What is the average rate of change of her salary between January and January ? Answer: A Solve the problem. Write the perimeter P as a function of x. Answer: A 58 Suppose that a circular coin has a circumference of C, a radius of r, and a diameter of d.

Write C as a function of d. She has 30 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

He has 64 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle.

Fencing is then needed only on the other three sides. Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x. Express the area of the sign as a function of h. Find the equation giving yearly sales S x. Find the average cost per item, to the nearest dollar, to produce 50 items. What is the rate of change of the number of students in the class with respect to the number of hours of study?

A B 19 C D Answer: A 66 The cost of manufacturing a molded part is related to the quantity of parts produced during a production run. What is the average cost per part? In what year would the sales be ? Interpret the result. Answer: D. Answer: D Graph the equation by plotting ordered pairs of numbers. A Increasing on -2, 0 and 3, 4 ; Decreasing on -5, -2 and 1, 3 B Increasing on -2, 0 and 3, 5 ; Decreasing on 1, 3 ; Constant on -5, -2 C Increasing on -1, 0 and 3, 5 ; Decreasing on 0, 3 ; Constant on -5, -3 D Increasing on 1, 3 ; Decreasing on -2, 0 and 3, 5 ; Constant on 2, 5 Answer: B 95 y 5 4 3 2 1 A Increasing on -3, -1 ; Decreasing on -5, -2 and 2, 4 ; Constant on -1, 2 B Increasing on -3, 1 ; Decreasing on -5, -3 and 0, 5 ; Constant on 1, 2 C Increasing on -5, -3 and 2, 5 ; Decreasing on -3, 0 ; Constant on 0, 2 D Increasing on -3, 0 ; Decreasing on -5, -3 and 2, 5 ; Constant on 0, 2 Answer: D Find the domain and range.

Answer: D Identify the intervals on which the given function is increasing, decreasing, or constant. Answer: B Use the minimum and maximum features of a graphing calculator to find approximately the intervals on which the function is increasing or decreasing. Round your values to two decimal places, if necessary. During the next three months, subscriptions continued to fall but more and more slowly.

After that, subscriptions were constant for two months, and then for the next two months subscriptions rose again, very slowly at first and then more quickly. Sketch a graph of her distance from the center of the race track as a function of time. Assume that the route she takes home is a straight line from the center of the race track. Answer: C Solve the problem. Let S x represent the new salary in terms of the previous salary x. Find the value of S 19, Let L x be the cost of mailing a letter weighing x ounces.

Use the greatest integer function and write an expression for renting a video tape for x days. Let S x represent the cost of renting a car for x days. Find the value of S 4. Let C x be the cost for insurance of x units of coverage. What will 10 units of coverage cost? Let S x represent the commission on x dollars of sales.

Find the value of S 75, This model is valid for the years from to Determine the earnings for Round to the nearest hundredth when necessary. Let x represent the length of a side of the base.

Express the cost of the box as a function of x. Give the function and state its domain. Answer: C Graph the pair of functions on the same plane.

Use a dashed line for g x. Answer: B Write the equation of the graph after the indicated transformation s. This graph is then reflected across the x-axis. Finally, the graph is shifted 0. Then the graph is shifted 9 units upward. This graph is then vertically stretched by a factor of 7. Finally, the graph is reflected across the x-axis. This graph is then vertically stretched by a factor of 4. Finally, the graph is shifted 4 units downward. Answer: C List the symmetries of the given function, if there are any.

Otherwise, state "No symmetry". The graph of the given function is drawn with a solid line. The graph of a function, g x , transformed from this one is drawn with a dashed line.

Find a formula for g x. Solve the inequality by reading the given graph. State the solution set using interval notation. During what interval of time will the coin be at a height of at least 40 ft?

The flare fired is visible only when it is above the rim. During what interval can the flare be seen? During what interval of time will the rocket be higher than If yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie? Answer: B Find the indicated function.

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Precalculus: Functions and Graphs, 4th Edition

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precalculus - functions & graphs_dugopolski (1)

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EWA CHODAKOWSKA ZMIEN SWOJE ZYCIE PDF

Precalculus: Functions and Graphs, 4th edition

What is the average rate of change of the cost of printing as the number of cards goes from to ? The area of a rectangle is 30 square feet. Write the perimeter of this rectangle as a function of the length of one of its sides, B. The grade on Walker's math test varies directly with the number of hours he spends studying for the test. If he studies only 2 hours, he makes a

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Precalculus : Functions and Graphs by Mark Dugopolski (Trade Cloth, Revised edition)

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