Question 2Answer the questions based on the graph:(2,9)8(0,7)4(2,4)*2(-6, 1)-8-6-4-22 2 4 6 8-4Domain (type the correct notation also):Range (type the correct notation also):Decreasing: (Constant: (Increasing:(Minimum y-value: No actual lower y-valueMaximum y-value: No actual upper y-valuex-intercept: (y-intercept: (0,, 0)(6,0)

As we can see from the graph,The function is defined for all real numbers So the domain is .As we…

Answered: Answer the questions based on the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 87E

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TEST TOUR UNDERSTANDING FOR EXAMPLE 2.3 Suppose a company has 15 worker and always produces 1000 items per day. Union agreements limit working time for each employee to no more than 10 hours per day. Make a graph of labor productivity versus hours worked per employee per day. In this setting, when the number of hours worked increases, does productivity increase or decrease?
Baking a Potato: A potato is placed in a preheated oven to bake. Its temperature P=P(t) is given by P=400325et/50, Where P is measured in degrees Fahrenheit and t is the time in minutes since the potato was placed in the oven. a. Make a graph of P versus t.Suggestion: in choosing your graphing window, it is reasonable to look at the potato over no more than a 2-hour period. After that, it will surely be burned to a crisp. You may wish to look at a table of values to select a vertical span. b. What was the initial temperature of the potato? c. Did the potatos temperature rise more during the first 30 minutes or second 30 minutes of baking? What was the average rate of change per minute during the first 30 minutes? What was the average rate of change per minute during the second 30 minutes. d. Is this graph concave up or concave down? Explain what that tells you about how the potato heats up, and relate this to part c.. e. The potato will be done when it reaches a temperature of 270 degrees. Approximate the time when the potato will be done. f. What is the temperature of the oven? Explain how you got your answer. Hint: if the potato were left in the oven for a long time, its temperature would match that of the oven.
Lidocaine Lidocaine is a drug used to treat irregular heartbeats. After an injection of a 100-mg dose of lidocaine, the amount of the drug in a patients bloodstream is 33.67(e0.0075731te0.12043t)mg at time t minutes after the injection. a. Make a graph of the amount of drug in the bloodstream for t up to 4 hours 240 minutes. b. When does the drug reach its maximum level in the bloodstream? c. For a person of typical size, the drug is effective as long as the amount in the bloodstream is at least 7.5 mg. For how long is the drug at or above that level? Hint: The drug is at that level twice. d. For a person of typical size, the lethal level occurs when the amount in the bloodstream exceeds 30 mg. Is this dose lethal for such a person? e. For a small person, the lethal level occurs when the amount in the bloodstream exceeds 15 mg. Is this dose lethal for such a person? If so, after how many minutes will it be lethal?

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Answer the questions based on the graph: (-6, 1). -8-6-4-22 8 Decreasing: ( 4 2 Constant: Domain (type the correct notation also): Increasing: -4 Range (type the correct notation also): (0,7) (2,9) Minimum value: No actual lower y-value (2,4) (6,0) 2 4 6 8