Math 1111 Review Sections 1.1-1.3 Ralston
Name _______________________________________________________
You may use your formula sheet and a TI-83 or equivalent calculator. Sharing of calculators is not permitted
For questions 1-2, complete the table. Use the resulting solution points to sketch the graph of the equation.
1. y = 3x - 6
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x |
y |
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-1
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0
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2
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2. 
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x |
y |
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-2
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-1
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0
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1
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2
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For questions 3-5, use the following table
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U.S. Presidents and Their Vice Presidents |
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President (x) |
Vice President (y) |
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George Washington |
John Adams |
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John Adams |
Thomas Jefferson |
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Thomas Jefferson |
Aaron Burr |
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Thomas Jefferson |
George Clinton |
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James Madison |
George Clinton |
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James Madison |
Elbridge Gerry |
3. Determine whether the relation is a function
4. State the domain of the relation.
5. State the range of the relation.
For questions 6-8, use the following list of ordered pairs. Each ordered pair represents year as x and number of North Atlantic tropical storms and hurricanes as y.
{(1994, 7) (1995, 19) (1996, 13) (1997, 7) (1998, 14) (1999, 12) (2000, 15) (2001, 15) (2002, 12)}
6. Determine whether the relation is a function.
7. State the domain of the function.
8. State the range of the function.
For questions 9-, consider the following relation and
its graph: y = 
9. Find the y-intercept of the relation. Write answer as an ordered pair .
10. Does the given relation represent a function? How do you know?
11. What is the domain of the function? Write answer in interval notation.
12. What is the range of the function? Write answer in interval notation.
13. Observe the graph (graphically). Does the function appear to be even, odd, or neither?
14. Confirm your answer to question #13, algebraically.
15. Determine the x-intervals for which the function is increasing. Write answer in interval notation.
16. Determine the x-intervals for which the function is decreasing. Write answer in interval notation.
17. Identify the relative minimum(s), if any exist. Write answer as ordered pair.
18. Identify the relative maximum(s), if any exist. Write answer as ordered pair.
19. Observe the graph (graphically). Estimate the zeros (x-intercepts) of the function. Write answer as an ordered pair.
20. Confirm your answer to question #20, algebraically. Write answer as an ordered pair.
For questions 21-23, evaluate the given function at the given values of the independent variable and simplify.
21. f(2)
22. f(0)
23. f( -x)