PRECALCULUS ADVANCED
PRECALCULUS ADVANCED
WORKSHEET 1 ON INEQUALITIES
No calculator.
Draw a number line graph for each problem. Write your answer in both inequality notation and in interval notation.
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
7. [pic] 8. [pic] 9. [pic]
10. [pic] 11. [pic] 12. [pic]
13. [pic] 14. [pic]
15. [pic] 16. [pic]
TURN->>>
Draw a number line graph for each problem. Write your answer in both inequality notation and in interval notation.
17.[pic] 18. [pic]
______________________________________________________________________________
Solve algebraically, and check your answer.
19. [pic]
______________________________________________________________________________
Find the x- and y-intercepts and the asymptotes, and sketch the graph.
20. [pic]
Intercepts: ________________________
Vert. Asymptotes: __________________
Horiz. Asymptotes: _________________
Slant Asymptotes: __________________
______________________________________________________________________________
Use your calculator to solve. Write a function, sketch the graph, and find the
Sketch the graph. answer by using your calculator.
21. [pic] 22. Find two positive numbers such that the product of the numbers is 108 and the sum of the first plus three times the second is a minimum.
Answer: _______________ Answer: ____________________
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