6. Graph the function according to the given criteria. f (-4) = f(0) =0 f'(x) =0at (-2, 1) f' (x ) > 0, x-2 f" (4 ) = f"(2) =f"(-1)=0 f"(x) 0, -1 4 7. Determine the critical points and inflection points for the following function. f (x) = (x' -1)3 8. An environmental study of a suburban community suggests that t years from now, the average level of carbon monoxide in the air will be q(1) = 0.05t~ +0.2 +3.1 parts per million. When will the rate of carbon monoxide level be changing at 0.775 parts per million/year? (Decimals permitted) Part C: Thinking 9. The chipmunk population in a wooded area can be modeled by the function p(t) = v350t + 50t2 where p is the number of chipmunks and t is the time in years. Determine the rate of change when the population is 145 chipmunks. Decimal work is permitted. 10. Let f(x) = ax + bx + cx+d. Determine the values of a, b, c and d if f(x) has critical points at x = -1 and x = 2, f(0) = 1 and f '(0) = 6. 11. A cylindrical container is open on the top and has a capacity of 247 cm . If the cost of the material used for the bottom of the container is $3/cm and the material for the curved part is $1/cm, determine the dimensions of the container that will minimize the cost