Answers: PROBLEM SET #1 increasing: none decreasing: local max min: (2, ) none local max: (0,0) none absolute max: (3, 9) absolute & local min local & absolute min: absolute & local max none decreasing: local & absolute max: (-1, 3) absolute min: d, e, and f decreasing: max local & absolute max: (0, 4) & absolute min decreasing: local and absolute max: max absolute min: min PROBLEM SET #3 max x = 0 j, m, p concave up: PROBLEM SET #2 concave down: inflection point: (-2, 0) x = 1 concave up: x = 0 concave down: inflection point: increasing: concave up: decreasing: concave down: min: (2, -16) inflection points: (0, 0) local max: (-4, 92) concave up: increasing: concave down: decreasing: local max: (-2, 4) inflection pts: (1, 5.5) & (3, 13.5) increasing: local minima: decreasing: local maximum: (0, 9) local min: (0, 0) maximum: (1, 4) increasing: minima: decreasing: , local maxima: local min: minima: local max: local maximum: (-6,116)
Answers: PROBLEM SET #1 none local max none none absolute & local min absolute & local max none d, e, and f max & absolute min max min max j, m, p PROBLEM SET #2 x = 1 x = 0 increasing: decreasing: min: (2, -16) local max: (-4, 92) increasing: decreasing: local max: (-2, 4) increasing: decreasing: local min: (0, 0) increasing: decreasing: , local min: local max: increasing: decreasing: min: (2, ) local max: (0,0) absolute max: (3, 9) local & absolute min: decreasing: local & absolute max: (-1, 3) absolute min: decreasing: local & absolute max: (0, 4) decreasing: local and absolute max: absolute min: PROBLEM SET #3 x = 0 concave up: concave down: inflection point: (-2, 0) concave up: concave down: inflection point: concave up: concave down: inflection points: (0, 0) concave up: concave down: inflection pts: (1, 5.5) & (3, 13.5) local minima: local maximum: (0, 9) maximum: (1, 4) minima: local maxima: minima: local maximum: (-6,116)
analyzing-functions-using-derivatives-problem-sets-2015-06-30.docx