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Exercise 5[32 points]. The following problems all involve f(x)=x2x+1​. You may use the facts f′(x)=x3−x−2​,f′′(x)=x42(x+

Posted: Thu Jul 14, 2022 4:22 pm
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Exercise 5 32 Points The Following Problems All Involve F X X2x 1 You May Use The Facts F X X3 X 2 F X X42 X 1
Exercise 5 32 Points The Following Problems All Involve F X X2x 1 You May Use The Facts F X X3 X 2 F X X42 X 1 (207.67 KiB) Viewed 38 times
Exercise 5[32 points]. The following problems all involve f(x)=x2x+1​. You may use the facts f′(x)=x3−x−2​,f′′(x)=x42(x+3)​. 25. Find the domain of f(x) (Use \infty for infinity and U for the union sign. Use parentheses and square brackets as appropriate). 26. Find the limits of f(x) at the ends of the domain. (Just list the limits separated by comma and space). 27. Find the intercepts of f(x) (State the x and y values between parentheses like, (x,y)). 28. Is f(x) Even Odd Neither 29. Find all Vertical and Horizontal asymptotes (Write the equations, not just the numbers, separated by comma and space). 30. Find all critical numbers of f(x) (List the numbers separated by comma and space). 31. Find the intervals of increase of f(x) (Write each interval with parentheses only, in order starting from −∞ onward). 32. Find the intervals of decrease of f(x) (Write each interval in separate entry with parentheses only, in order starting from −∞ onward).