Average Value Of A Function
Given that a function f(x) has an average value of 4 over the interval from x = 5 to x = 10, must there be a value of x in this interval where f(x) = 4? Why or why not?
A
There will not be a value of x where f(x) = 4 because the Average Value Theorem applies to the situation.
B
There will not be a value of x where f(x) = 4 because the Average Value Theorem does not apply to the situation.
C
There is insufficient information because it is unknown whether f(x) is continuous.
D
There will be a value of x where f(x) = 4 because the Average Value Theorem does not apply to the situation.
E
There will be a value of x where f(x) = 4 because the Average Value Theorem applies to the situation.