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A function and its graph are given. Use the second derivative to determine each of the following. Check your results against the graph shown. f(x)=x²+x²-3x² + 8 f(x) 20 15 ū 10 5 -6 4 -5 -10 -15 -20 @ Determine intervals on which the function is concave up. (Enter your answer using interval notation.) 0 - 2 4 6 Determine intervals on which the function is concave down. (Edter your answer using interval notation.) x Locate the points of inflection. (If an answer does not exist, enter DNE.) (x, y) = (-2,-10 ) (smaller x-value) ) (larger x-value) 1 X

y=x48x³ + 16x² Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) 2,16 relative maxima relative minima relative minima points of inflection points of inflection (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = 0,0 4,0 .845,7.1 3.15,7.11 X x (smaller x-value) (larger x-value) )« (smaller x-value) (larger x-value)

Suppose that a company's daily sales volume attributed to an advertising campaign is given by the following equation. 35 +2 (t + 2)² (a) Find how long it will be before sales volume is maximized. t=2 X days s(t) = 7 t+2 (b) Find how long it will be before the rate of change of sales volume is minimized. That is, find the point of diminishing returns. t=5 x days Need Help? Read It Watch it