# How do you determine whether the mean value theorem applies to #f(x)=3x-x^2#?

##### 1 Answer

The hypotheses of the Mean Value Theorem are:

(1)

(2)

Therefore for any interval

(The pedantic logician in me wants to mention that the MVT is an " if ... then ___" statement. As such it applies (in some sense) to every function. But that's not what your teacher and textbook mean. They want to know whether the hypotheses are true.)