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At least one of the answers above is NOT correct. (1 point) Consider the function f(x) A = 2 and B = 7 f" (A) 9 f" (B) -9 Thus f(x) has a local MIN and a local MAX = = : −2x³ +27x² − 84x + 10. This function has two critical numbers A< B: at B (type in MAX or MIN). Note: You can earn partial credit on this problem. Preview My Answers Submit Answers at A (type in MAX or MIN) Your score was recorded. You have attempted this problem 4 times. You received a score of 67% for this attempt. Your overall recorded score is 67%. You have unlimited attempts remaining.
2. Find the critical values of f. -1,4 Use Key Idea 4 (pp.152-3 in APEX Calculus) by applying the principles to the given function. 1. Determine the domain of f. (as an interval) (-inf,inf) 3. Find the possible points of inflection of f (x-values only). 3/2 (Separate multiple answers by commas.) 4. Find the vertical asymptotes. x = DNE (Separate multiple answers by commas.) 5. Find the horizontal aymptotes. y = DNE f(x) = ) = −x³ +4.5x² + 12x + 5.5 (-1,-1),(-1.5,123),(4,61.5) (Separate multiple answers by commas.) 6. Use a number line analysis to complete the following. f is increasing on: (-1,4) f is decreasing on: f is concave up on: (-inf,3/2) f is concave down on: (3/2,inf) (-inf,-1)U(4,inf) (Separate multiple answers by commas.) (as an interval) (as an interval) (as an interval) (as an interval) 7. Evaluate f at each critical point and possible point of inflection. List all such points below. Each point should be entered as an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.)
(1 point) Let A(x) = x√x +3. Answer the following questions. 1. Find the interval(s) on which A is increasing. Answer (in interval notation): (-2,inf) 2. Find the interval(s) on which A is decreasing. Answer (in interval notation): (-3,-2) 3. Find the local maxima of A. List your answers as points in the form (a, b). Answer (separate by commas): none 4. Find the local minima of A. List your answers as points in the form (a, b). Answer (separate by commas): (-3,-2) 5. Find the interval(s) on which A is concave upward. Answer (in interval notation): (-3,inf) 6. Find the interval(s) on which A is concave downward. Answer (in interval notation): NONE Note: You can earn partial credit on this problem. Preview My Answers Your score was recorded. You have attempted this problem 7 times. You received a score of 83% for this attempt. Your overall recorded score is 83%. You have unlimited attempts remaining. Submit Answers