QuestionConsider the function.(If an answer does not exist, enter DNE.) (a) Determine intervals where is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Determine the local minima and maxima of . (Enter your answers as comma-separated lists.) locations of local minima locations of local maxima (c) Determine intervals where is concave up or concave down. (Enter your answers using interval notation.) concave up concave down (d) Determine the locations of inflection points of . Sketch the curve, then use a calculator to compare your answer. If you cannot determine the exact answer analytically, use a calculator. (Enter your answers as a comma-separated list.)
Studdy Solution
Let's summarize our findings:
(a) Increasing: (-∞, 4) ∪ (8, ∞)
Decreasing: (4, 8)
(b) Local minima: x = 4, 8
Local maximum: x = 6
(c) Concave up: (-∞, ∞)
Concave down: None
(d) Inflection points: None (DNE)
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