Homework for Chapter 2

Exercise 1: Find the domain of each of the following functions

Code to generate graph paper

1. y = [Maple Math]

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2. y = [Maple Math]

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3. y = [Maple Math]

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4. y = [Maple Math]

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5. y = [Maple Math]

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6. y = [Maple Math]

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7. y = [Maple Math] (r, h are positive constants)

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8. y = [Maple Math]

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9. y = [Maple Math]

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10. y = [Maple Math]

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11. y = [Maple Math]

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Starting with the graph of [Maple Math] , the graph of [Maple Math] , and the graph of [Maple Math] (the upper unit semicircle), sketch the graph of each of the following functions:

12. y = [Maple Math]

[Maple Plot]

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13. y = [Maple Math]

[Maple Plot]

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14. y = [Maple Math]

[Maple Plot]

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15. y = [Maple Math]

[Maple Plot]

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16. y = [Maple Math]

[Maple Plot]

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17. y = [Maple Math]

[Maple Plot]

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18. y = [Maple Math]

[Maple Plot]

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19. y = [Maple Math]

[Maple Plot]

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20. y = [Maple Math]

[Maple Plot]

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21. y = [Maple Math]

[Maple Plot]

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22. y = [Maple Math]

[Maple Plot]

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23. y = [Maple Math]

[Maple Plot]

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In questions 24--30, y = f(x) is given by the following graph:

[Maple Plot]

code for graph

Using that graph, sketch the following:

24. y = f(x-1)

[Maple Plot]

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25. y = 1+f(x+2)

[Maple Plot]

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26. y = [Maple Math]

[Maple Plot]

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27. y = [Maple Math]

[Maple Plot]

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28. y = [Maple Math]

[Maple Plot]

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29. y = [Maple Math]

[Maple Plot]

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30. y = [Maple Math]

[Maple Plot]

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Exercise 2 : Graphs of standard elementary functions

The following is a list of functions whose graphs you will need to become familiar with. For each, plot the graph for a suitable range of values of the independent variable, x. If there are additional parameters make plots for several values of the parameters. Label printed copies of the graphs with the following information:

i) the function which the graph illustrates,

ii) the axes (x and y),

iii) the location of roots,

iv) asymptotes

1. f(x) = [Maple Math]

[Maple Plot]

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2. f(x) = [Maple Math]

[Maple Plot]

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3. f(x) = [Maple Math]

[Maple Plot]

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4. f(x) = [Maple Math]

[Maple Plot]

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5. f(x) = [Maple Math]

[Maple Plot]

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6. [Maple Math]

[Maple Plot]

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7. [Maple Math]

[Maple Plot]

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8. f(x) = x

[Maple Plot]

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9. [Maple Math]

[Maple Plot]

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10. [Maple Math]

[Maple Plot]

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11. [Maple Math]

[Maple Plot]

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12. [Maple Math]

[Maple Plot]

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13. [Maple Math]

[Maple Plot]

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14. [Maple Math]

[Maple Plot]

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15. [Maple Math]

[Maple Plot]

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16. [Maple Math]

[Maple Plot]

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17. [Maple Math]

[Maple Plot]

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18. [Maple Math] .

[Maple Plot]

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