Please use this template to insert your answers for the assignment. Please choose one of the three methods for showing your work (EE, ALT keys, or MathType). Remember that your work should be clear and legible. Using the superscript button above (in the font table), you can make powers; example: x2. You may also use Equation Editor as needed too.
INSTRUCTIONS: Read the references and examples found on the Background Info page. Work out the following problems, showing all the computational steps.
See the figure below. The heavy line represents one function that continues indefinitely in the directions indicated by the arrows. Use this graph to answer questions 1-7.
1. Does the relationship pass the vertical line test, for being a function?
Answer: _______________
2. What is its range?
Answer: _______________
3. What is its domain?
Answer: _______________
4. What are its X-intercepts, if any?
Answer: _______________
5. What is its Y-intercept, if any?
Answer: _______________
6. What is the nature of the relationship (linear, quadratic, etc.)?
Answer: _______________
7. What is the value of f(x) at x=-2?
Answer: _______________
The figure below represents a relationship in the X-Y plane. Use this graph to answer questions 8-14.
8. Does the relationship pass the vertical line test, for being a function?
Answer: _______________
9. What is its approximate range?
Answer: _______________
10. What is its approximate domain?
Answer: _______________
11. What are its X-intercepts, if any?
Answer: _______________
12. What are its Y-intercepts, if any?
Answer: _______________
13. What is the nature of the relationship (linear, quadratic, etc.)?
Answer: _______________
14. What is/are the approximate y-value(s) of the relationship at x=3?
Answer: _______________
The figure below is a partial plot of the equation . It is a function. Use this graph to answer questions 15-18.
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15. What is its range? Answer: __________
16. What is its domain?
Answer: __________
17. Determine the approximate x-intercepts by inspection; that is, looking at the plot. Verify these results by calculating the x-intercepts (roots of the equation). Show your calculations in detail. Show answer below.
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17. Calculations:
Inspection:
Factors:
Roots:
Answer: _______________
18. Determine the approximate y-intercept(s) by inspection. Verify these results by calculating the value of the y-intercept(s). Show your calculations in detail.
Calculations:
Inspection: y-intercept=
Proof:
Answer: _______________
The figure below is a partial plot of the equation . It is a function. Use this graph to answer questions 19-22.
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19. What is its range?
Answer: __________
20. What is its domain?
Answer: __________
21. Determine the approximate x-intercepts by inspection; that is, looking at the plot. Verify these results by calculating the x-intercepts (roots of the equation). Show your calculations in detail. (Hint: Find the factors using polynomial division.) Show answer below.
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21. Calculations:
Inspection:
Factors:
Roots:
Answer: _______________
22. Determine the approximate y-intercept(s) by inspection. Verify these results by calculating the value of the y-intercept(s). Show your calculations in detail.
Calculations:
Inspection:
Proof:
Answer: _______________
Find the equation of the inverses of the functions in 23 & 24.
23.
Calculations:
Answer: _______________
24.
Calculations:
Answer: _______________
For 25-32, if and
25. Find .
Calculations:
Answer: _______________
26. Calculate .
Calculations:
Answer: _______________
27. Find .
Calculations:
Answer: _______________
28. Calculate .
Calculations:
Answer: _______________
29. Find .
Calculations:
Answer: _______________
30. Calculate .
Calculations:
Answer: _______________
31. Find .
Calculations:
Answer: _______________
32. Calculate .
Calculations:
Answer: _______________
-- End of assignment --
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gasimm
mat101_case_5_answer_template.docx
0
