Could you please help with these practice problems? Thank you!
Posted: Tue May 10, 2022 12:14 pm
Could you please help with these practice problems? Thank
you!
In the following problems, answer the questions using the fact that x2 2x - 4x +2 f (x+1)3' and f"(x) (x+1)4 f(x) = 671)2, f'(x) = = = (x+ 1. Give and label the x-intercepts and y-intercepts if there are any. (2 pts) 2. Are there any vertical asymptotes or horizontal asymptotes? (4 pts) 3. What are the critical points and label the extrema? (2 pts) 4. On what intervals is the function decreasing and increasing? (4 pts) 5. On what intervals is the function concave up and concave down? (2 pts)
6. Sketch a graph of the function? (1 pts) Use the extreme value theorem to find and label all extrema. (10 pts each) 7. f(x) = x3 – 3x2 + 5 on (-3,4] 8. g(x) = x21 on (-2,2] = Rock County Brewery makes their own homemade root beer. The cost of producing x bottles of root beer to be C(x) = .001x2 + x + 100 and sells them at a price of p(x) = 2 - .001x. 9. How many bottles of root beer must they produce to minimize the average cost? (10 pts)
you!
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6. Sketch a graph of the function? (1 pts) Use the extreme value theorem to find and label all extrema. (10 pts each) 7. f(x) = x3 – 3x2 + 5 on (-3,4] 8. g(x) = x21 on (-2,2] = Rock County Brewery makes their own homemade root beer. The cost of producing x bottles of root beer to be C(x) = .001x2 + x + 100 and sells them at a price of p(x) = 2 - .001x. 9. How many bottles of root beer must they produce to minimize the average cost? (10 pts)