Math 1314 Homework 12 Enter your answers in the EMCF titled \"Homework 12\" at casa.uh.edu before the due date/time. Use the following graph to answer questions 1 - 3. The graph below is the graph of the first derivative of a polynomial function f. 1. Find any critical numbers. A. -0.5, 0.5 B. -0.25, 0.25 C. -1, 1 D. -1, 0, 1 E. None of the above 2. Give one interval where the function f is increasing. A. 0.5, B. C. D. 1, 0 0,1 , 0 E. None of the above 3. How many relative extrema does the function f have? A. None B. One C. Two D. Three E. Four Math 1314 Homework 12 Page 1 of 4 Use the following graph to answer questions 4 and 5. The graph below is the graph of the second derivative of a polynomial function f. 4. Give any intervals over which the function f is concave down. A. (1,3) B. (3, 1) C. (, 3) (1,3) D. (3.5, 2.5) (1,3) E. None of these. 5. How many points of inflection does the function f have? A. None B. One C. Two D. Three E. Four Use the following graph to answer questions 6 - 8. The graph below is the graph of the first derivative of a polynomial function f. Math 1314 Homework 12 Page 2 of 4 6. Give one interval where the function f is concave up. A. , 2 B. C. , , 0 D. Cannot be determined. E. None of the above 7. Give one interval where the function f is concave down. A. Cannot be determined. B. 2, C. D. , 0, E. None of the above 8. How many points of inflection does the function f have? A. None B. One C. Two D. Three E. Four 9. Problem 4.6.10. Find any critical numbers. A. B. C. D. E. 24.2371; 6.0726; 1.2517 1.2517; 6.0726; 24.2371 2.6407; 1.7409; 0.3059 2.6407; 1.7409; 0.3059 None of the above 10. Problem 4.6.10. State the intervals on which the function is concave upward and the intervals on which the function is concave downward. A. concave upward on 2.2424, 0.8826 , concave downward on , 2.2424 0.8826, B. concave upward on , 2.2424 0.8826, , concave downward on 2.2424, 0.8826 C. concave upward on , 2.6407 1.7409, 0.3059 , concave downward 2.6407, 1.7409 0.3059, Math 1314 Homework 12 Page 3 of 4 D. concave upward on 2.6407, 1.7409 0.3059, , concave downward on , 2.6407 1.7409, 0.3059 E. none of the above Math 1314 Homework 12 Page 4 of 4