Section 8.4 – Average Value of a Function

1. Section 8.4 – Average Value of a Function 7.1

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

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. NO CALCULATOR • 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

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

8. Find the average value of 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