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Use the graph to find the following limits. amwm mmm xtl x>3 a. Find lim f(x) or state that it doesn't exist. Select the x>1 correct choice below and fill in any answer boxes in your choice. OAHmmz X->1 (Type an integer.) O B. The limit does not exist. b. Find lim f(x) or state that it doesn't exist. Select the xrs correct choice below and fill in any answer boxes in your choice. OAHmmz x>3 (Type an integer.) O B. The limit does not exist. The graph below shows the profit P from the daily a. Find lim P(x). Select the correct choice below and, if production of x thousand kilograms of an industrial X-+6 disinfectant. Use the graph to complete parts a through f to necessary, fill in the answer box within your choice. the right. AP ( x ) O A. lim P(x) = (limit does not X- 6 2000- exist) O B. lim P(x) = 1500- (10, 1500) Second shift Round to the nearest hundred as First shift needed.) : 1000 (10, 900) O C. The limit lim P(x) does not exist because X- 6 500- the one-sided limits are not equal. b. Find lim P(x). Select the correct choice below and, if 56 10 15 20 X-10- # of units (1000s of kilos) necessary, fill in the answer box within your choice. O A. lim P(x) = x-10 (Round to the nearest hundred as needed.) O B. lim P(x) = (limit does x-10- not exist) O C. The limit lim P(x) does not exist -10- because the one-sided limits are not equal. c. Find lim P(x). Select the correct choice below and, if x-10+ necessary, fill in the answer box within your choice. O A. lim P(x) = (limit does x-10 + not exist) O B. lim P(x) = x-10+ Round to the nearest hundred as needed.) O C. The limit lim P(x) does not exist x-10+ because the one-sided limits are not equal. d. Find lim P(x). Select the correct choice below and, if x-10 necessary, fill in the answer box within your choice. O A. lim P(x) = (limit does not X-10 exist){Rou nd to the nearest hundred as needed.) 0 C. The limit lim P(x} does not exist because xrlo the one-sided limits are not equal. e. Where is the function discontinuous? What might account for such a discontinuity? Determine where the function is discontinuous. Select the correct choice below and. if necessary, ll in the answer box within your choice. O A. The function is discontinuous at x = . (Simplify your answer. Use a comma to separate answers as needed.) 0 B. The function is continuous everywhere. What might account for such a discontinuity? O A. Employees may receive a bonus if they produce enough units in a day. Q B. The number of units produced may become so large that it reaches the point of diminishing returns. 0 C. The second shift may work harder than the first shift. O D. The first shift may work harder than the second shift. 0 E. The shift change process may cause a temporary lapse in productivity. O F. The function is continuous everywhere. 1'. Use the graph to estimate the number of units of the chemical that must be produced before the second shift is as profitable as the rst. unit{s} (Round to the nearest whole number as needed.) 3. Find the average rate of change of the function over the given interval. y = 12x - 3; between x = 6 and x = 14 What expression can be used to find the average rate of change? O A. lim f(b) - f(6) b- a b - 6 O B. f(14) - f(6) 14-6 O c. f(14) + f(6) 14+6 O D. lim f(14 + h) -f(14) h-0 h The average rate of change of y between x = 6 and x = 14 is (Simplify your answer.)