Average Value of a Function Worksheet with Answer Key

What's on the worksheet

1. Find the average value of each function on the given interval.
   f(x) = \dfrac{1}{\sqrt{x}} on [1, 9]f(x) = \sec^2 x on \left[0, \dfrac{\pi}{4}\right]f(x) = e^x on [0, \ln 4]f(x) = \dfrac{1}{1 + x^2} on \left[0, \sqrt{3}\right]
2. Find the number b > 0 for which the average value of $f
3. The graph of f on [0, 7] is the broken line through (0, 4), (3, −2), (5, −2) and (7, 2), shown in the figure.
4. At a fruit-packing warehouse, Maya times the cherries that tumble onto a sorting belt from a hopper.
5. Let $f
6. A function f is continuous on [0, 10].