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Let f(x) = x' + 1x - 6 3x2 + 7x - 6 Find the horizontal and vertical asymptotes of f(E). If there are no asymptotes of a given type, enter 'none'. If there are more than one of a given type, list them separated by commas. Horizontal asymptote(s): y = -inf Vertical asymptote(S): I = 2/3Find the absolute maximum and absolute minimum values of the function z} = 23 + 12:2 271+3 over each of the indicated intervals. {a} Interval = [10,0]. 1. Absolute maximum: 2. Absolute minimum = {b} Interval = [T', 2]. 1. Absolute maximum: 2. Absolute minimum = {c} Interval = [11]. 2]. 1. Absolute maximum: 2. Absolute minimum = Find the x-coordinate of the absolute minimum for the function f(x) = 4x In(x) - 111, T-coordinate of absolute minimum =Section 4.1: Problem 10 Find the xcoordinate of the absolute maximum for the function 22>0. m) 2 w, zcoordinate of absolute maximum = Section 4.3: Problem 1 Previous Problem Problem List Next Problem Below is the graph of the derivative f' (a) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of x in (0,8) is f(I) increasing? (If the function is not increasing anywhere, enter None .) Answer: (3,8) (B) For what values of ar in (0,8) is f(z) concave down? (If the function is not concave down anywhere, enter None .) Answer: none (C) Find all values of I in (0,8) is where f(I) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None .) Local Minima: 3 (D) Find all values of I in (0,8) is where f(I) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None .) Inflection Points: 1,4,5,6 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 7 times. Your overall recorded score is 75% You have unlimited attempts remaining. Email WeBWork TASection 4.3: Problem 2 Previous Problem Problem List Next Problem Let f(x) = 2(x - 4)2/3 + 2. (A) Find all critical values and list them below. Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Increasing (C) Use interval notation to indicate where f (x) is decreasing. Decreasi (D) List the x values of all local maxima of f. If there are no local maxima, enter 'NONE'. c values of local maxim (E) List the x values of all local minima of f. If there are no local minima, enter 'NONE'. I values of local minima =Section 3.7. Advanced Limits: Problem 18 Previous Problem Problem List Next Problem Evaluate the limit using L'Hopital's rule lim 3 cos(-5x) sec(-9:) Answer.Section 4.1: Problem 1 Previous Problem Problem List Next Problem The function f(x) = (9x + 5)e " has one critical number. Find the critical number. 2Find all critical values for the function 2r f(r)= 672 + 7 and then list them (separated by commas) in the box below. List of critical numbers: 0,0Find all critical value for the function The critical numbers of the function f(t) = 2+2/3 + +5/3 are t1 = and to = with to