Math111i_Quiz2_Solutions

Math111i_Quiz2_Solutions - c. The portion of the function...

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Math 111I Sec 001 Quiz 2 Soluions Name Directions: Read each question carefully and answer in the space pro- vided. The use of calculators is allowed, but not necessary. There are 10 points possible. To receive partial credit on any problem work must be shown. 1. (5 points) Consider the following plot of a function f ( x ) defined only on the displayed area, Give approximate intervals describing: a. The Domain of the function. b. The Range of the function. c. Where the function is increasing. d. Where the function is decreasing. e. Where the function is concave up. f. Where the function is concave down.
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Math 111I Sec 001 Quiz 2 Soluions Solutions. a. Because the function is restricted to the window (i.e. it does not go off to infinity, it is only what can be seen), the x -values for which the function has a plot is the interval ( - 2 . 3 , 2). Note that this is an x -interval. b. All of the outputted values comprise the range, so we see that the function hits everything between 1 and 5 along the y -axis. So our Range is (1 , 5) which are y -values.
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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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Math111i_Quiz2_Solutions - c. The portion of the function...

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