# Abstract Algebra. Student's Solution Manual by I. N. Herstein

By I. N. Herstein

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**Extra info for Abstract Algebra. Student's Solution Manual**

**Sample text**

4. a. 60 per gallon. b. Explain the steps that you used to determine the cost in part a. 1 that function notation is an efficient and convenient way of representing the output variable. 6p may be written using the function notation by replacing c with f 1p2 as follows. 602. 6p as follows. 36). 36. 5. a. 85 per gallon and evaluate. Write the result as an ordered pair. b. 952, and write a sentence describing its meaning. Write the result as an ordered pair. Real Numbers The numbers that you will be using as input and output values in this text will be real numbers.

The y-value of this point is called a local maximum value. If a function decreases and then increases, the point where the graph changes from falling to rising is called a minimum point. The y-value of this point is called a local minimum value. 5 1. You are a technician at the local power plant, and you have been asked to prepare a report that compares the output and efficiency of the six generators in your sector. Each generator has a graph that shows output of the generator as a function of time over the previous week, Monday through Sunday.

Using these settings, the window screen should appear as follows: c. Display your graph using the window settings from part b. Your graph should resemble the following: 5. a. By pressing the trace button and the left and right arrow leys, you can display the x-y values of points on the graph on the bottom of the display. Use the trace feature of your calculator to approximate the speed of the car when the length of the skid distance is 200 feet. You can obtain the exact value for any x-value between Xmin and Xmax by entering the x-value while in trace mode and pressing ENTER .