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Unformatted text preview: c. The portion of the function that is increasing is from x = 0 to x = 2. So the interval notation for this is given as (0 , 2). d. The function decreases on (-2 . 3 , 0). e. The function is concave up on the entire plot (concave up means that it would hold water). So that interval is the same as the domain (-2 . 3 , 2). f. Because the function is concave up on its entire domain, we say that it is concave down nowhere. 2. (5 points) The table shows the number of manatees killed by power boats in Florida from 1986 through 1990 Year Manatees Killed 1986 33 1987 39 1988 43 1989 50 1990 47 Find the average rate of change for the number of manatees killed from 1988 to 1990. Solutions. Lets call the above function M ( t ) where t is time in years, and M ( t ) represents the number of manatees killed. We are asked to compute the average rate of change over 1988 to 1990, so we compute m [1988 , 1990] = M (1990)-M (1988) 1990-1988 = 47-43 1988-1990 = 4 2 = 2 ....
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- Fall '08