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Section 8.4 – Average Value of a Function

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Presentation on theme: "Section 8.4 – Average Value of a Function"— Presentation transcript:

1 Section 8.4 – Average Value of a Function
7.1

2 One more formula….. The Average Value of a Function Find the average value of

3 CALCULATOR REQUIRED The average value of f(x) = x ln x on the interval [1, e] is: 0.772 1.221 1.359 1.790 2.097

4 NO CALCULATOR The average value of over the interval is:

5 If , then the average rate of change of y with respect
to x on the closed interval [0, 4] is: 1/16 1 4/3 d) e) 2 NO CALCULATOR

6 CALCULATOR REQUIRED The level of air pollution at a distance x miles from a tire factory is given by The average level of pollution between 10 and 20 miles from the factory is: 0.226 0.230 0.234 0.238 0.242

7 End AB Lecture

8 Find the average value of
a) [-1, 0] b) [0, 1] c) [-1, 1]

9 NO CALCULATOR Of the average value of over the interval [1, b] is 13/3, then the value of b could be: 7/3 3 11/3 4 13/3

10 CALCULATOR REQUIRED The functions f and g above are defined on the closed interval [0, b]. They will have the same average value if b is: 0.848 0.852 0.854 0.858 0.862 Graph and find the zero……. 0.854 – Choice C

11 CALCULATOR REQUIRED

12 CALCULATOR REQUIRED


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