Question: Use the rational function R (x) = x - +x-6 x2-4 to answer questions 17 - 23. 17. What is the domain of R (x)

Use the rational function R (x) = x - +x-6 x2-4 to answer questions 17 - 23. 17. What is the domain of R (x) ? Write your answer in interval notation. 17. 18. Does the graph of R(x) have a hole? If so, state the ordered pair (coordinates) that represents the hole. 18. 19. State the equation of the vertical asymptote if one exists. If it does not exist, write "none". 19. 20. Does the graph have a horizontal or oblique asymptote? Write the equation of this asymptote. Be sure to specify if it is a horizontal or oblique. 20. 21. Find the x - intercepts. Write your intercepts as ordered pairs. 21. 22. Find the y - intercepts. Write your intercept as an ordered pair. 22. 23. Graph R(x) on the coordinate plane provided. Be sure to label asymptotes, intercepts, and any holes. $5 4 -3-2 -1 7 3 4 5 6 - xNow consider P(x) and R(x) as inequalities. Answer each question below using P(x) = x3 + 5x2 + 8x + 4 and R(x) = - x2+ x - 6 x2-4 -. (The graphs of these functions will be helpful.) 24. Where is P(x) = 0? 24. 25. Where is P(x) > 0? Write your answer in interval notation. 25. 26. Where is P(x) 0? Write your answer in interval notation. 30. 31. Where is R(x)

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