Honors AP Calculus / Mr. Hansen
2/15/2012

Name: _____________________

Test on Most of Chapter 10: Calculator Required
Write “OVER” if you need more room. Keep your eyes on your own paper at all times.

 

1.

State the formula for the average value of integrable function f on [a, b]. An equals sign is required.

 

 

 

 

 

 

 

 

 

 

 

 

2.

Some textbooks require that f (in #1) be continuous. However, ours does not. Explain using complete sentences why a piecewise continuous function satisfies the same formula. (Do not simply cite the formula: that is a mere formalism. Explain why the formula makes sense in the context of a piecewise continuous function f.)