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Math111i_GroupQuiz1_Solutions

# Math111i_GroupQuiz1_Solutions - -1 = 2-4-1-2 =-2 m-1 0...

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Math 111I Sec 001 Group Quiz 1 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. Consider the following table with x and y . x y -2 4 -1 2 0 -5 1 3 2 0 3 1 a. (5 points) Calculate the average rate of change between every two x values given in the table. That is calculate m [ a,a +1] for every a = - 2 , - 1 , . . . , 3. b. (5 points) Find the average rate of change between x = - 2 and x = 3. Does this average rate of change describe the function better than those computed in part a.? Solutions. a. We simply compute the following average rates of change

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Unformatted text preview: -1] = 2-4-1-(-2) =-2 m [-1 , 0] =-5-2-(-1) =-7 m [0 , 1] = 3-(-5) 1-= 8 m [1 , 2] =-3 2-1 =-3 m [2 , 3] = 1-3-2 = 1 . Math 111I Sec 001 Group Quiz 1 b. Next we ﬁnd the average rate of change between x =-2 and x = 3, which follows as m [-2 , 3] = 1-4 3-(-2) =-3 5 . We gain a better understanding of the function from the values in a. because we get to see how the function is changing more often, and from those values if we take the average of (-2 ,-7 , 8 ,-3 , 1) we obtain-3 / 5. So because we can ﬁnd the answer to b. from a., then we can say that a. tells us more about the function....
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