5 Exercise 5 30 Points The Following Problems All Involve F X Facts F X X 2 X 29 Is F X Odd 2 F X Ev 1 (177.74 KiB) Viewed 25 times
5 Exercise 5 [30 points]. The following problems all involve f(x) facts f'(x) = = -x+ 2 x³ 29. Is f(x) Odd 2 ƒ" (x) = Even = 2(x − 3) X x² FINAL REVIEW 26. Find the domain of f(x) (Use \infty for infinity and U for the union sign. Use parentheses and square brackets as appropriate). 27. Find the limits of f(x) at the ends of the domain. (Just list the limits separated by comma and space). 28. Find the intercepts of f(x) (State the x and y values between parentheses like, (x, y)). You may use the Neither 30. Find all Vertical and Horizontal asymptotes (Write the equations, not just the numbers, separated by comma and space). 31. Find all critical numbers of f(x) (List the numbers separated by comma and space). 32. Find the intervals of increase of f(x) (Write each interval with parentheses only, in order starting from -∞ onward).
6 FINAL REVIEW 33. Find the intervals of decrease of f(x) (Write each interval in separate entry with paren- theses only, in order starting from - onward). 34. Find the local Maxima and Minima (Write the x and y values between parentheses like, (x, y)). If none write "none"). Maximum Minimum 35. Find the intervals where f(r) is concave upward (Use parentheses only). 36. Find the intervals where f(x) is concave downward (Use parentheses only. Use U for union if necessary). 37. Find the inflection points (Write the x and y values between parentheses like, (x, y)). If none write "none"). 38. Which of the following graphs is that of f(x)?
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