Question: Use the following information to answer problems 16 - 19. y = f(x) with a domain of all real numbers except for I = -1.

Use the following information to answer problems 16 - 19. y = f(x) with a domain of all real numbers except for I = -1. f'(2) = =(2+2) 2 (x+ 1)2 and f"(x) = 7 (I + 1) 3 16. Find the interval(s) where f(x) is increasing and decreasing. A. Decreasing: Nowhere and Increasing: (-00, -2); (-2, -1); (-1, 0); (0, 00) B. Decreasing: (-2, -1); (-1,0) and Increasing: (-00, -2); (0, 00) C. Decreasing: (-0o, -2); (0,00) and Increasing: (-2, -1); (0, 1) D. Decreasing: (-0o, -2); (-2, -1); (-1, 0); (0,00) and Increasing: Nowhere 17. Find all relative extrema, if any, and classify. A. y = f(0); relative MAX and y = f(-2); relative min B. y = f(-2); relative MAX ; y = f(0); relative MAX and y = f(-1); relative mi C. y = f(-2); relative MAX and y = f(0); relative min D. No relative extrema 18. Find all intervals of concavity for f(x). A. Concave up: (-1, co); Concave down: (-0o, -1) B. Concave up: (-0o, -1); Concave down: (-1, co) C. Concave up: (-0o, -2); (0, co); Concave down: (-2, -1)U; (-1, 0) D. Concave up: (-00, -2); (0, co); Concave down: Nowhere 19. Find all points of inflection. A. (-1, f(-1)) B. (- 2, f(-2)); (- 1, f(-1)); (0, f(0)) C. (- 2, f(-2)); (0, f(0)) D. No point of inflection exists
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