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Math 201 Practice Test Name: In the following problems, answer the questions using the fact that f(x) = Vx2 +1, f'(x) = and f"(x) = (x2+1) = = 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) = x2*1 on (-2,2] x²+1