F(2)=f, left parenthesis, 2, right parenthesis, equals \small{1}1\small{2}2\small{3}3\smal l{4}4\small{5}5\small{6}6\small{7}7 \small{\llap{-}2} - 2\small{\llap{-}3} - 3\small{\llap{-}4} - 4\small{\llap{-}5} - 5\small{\llap{-}6} - 6\small{\llap{-}7} - 7\small{1}1\small{2}2\small{3}3\sma ll{4}4\small{5}5\small{6}6\small{7} 7\small{\llap{-}2} - 2\small{\llap{-}3} - 3\small{\llap{-}4} - 4\small{\llap{-}5} - 5\small{\llap{-}6} - 6\small{\llap{-}7} - 7yyxx\blueD ff

In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (1,-1), (2,0.5), (5,1.5), (8,2)

Through non-collinear points there is exactly one plane.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)