Question

An object moves up and down. Its height, h in feet, is a function of time, t in seconds. It is known that • The domain is (-2,4). • The initial height is h(0) = 7 feet. • The graph of the velocity is h' (ft/s) 12 А. t(s) 1 -8 -12 1. What intervals is the height is increasing or decreasing? Enter answers using interval notation. Enter multiple intervals as comma-separated list. increasing (0.2) decreasing (-2,0), (2, 4) 2. What are the location of all local maximums and local minimums (don't include endpoints)? Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. local minimum when 1 X t = 0 local maximum when X 3. What intervals on which the height function concave up or concave down Enter answers using interval notation. Enter multiple intervals as comma-separated list concave up (0,1), (3, 4) x concave down (1,2) X 4. Find the location of inflection points of the function. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. points of inflection when t = 2 x

Answer 1

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