Mean value theorem question?
determine whether f satisfies the hypotheses of the mean value on [a,b], and, if so, find all numbers c in (a,b) such that f(b) - f(a) = f'(c)(b-a).

f(x)= (x+3)/(x-2) on [-2,3]

Question

Mean value theorem question?
determine whether f satisfies the hypotheses of the mean value on [a,b], and, if so, find all numbers c in (a,b) such that f(b) - f(a) = f'(c)(b-a).

f(x)= (x+3)/(x-2) on [-2,3]

anonymous · Answer

is this continuous on the closed interval $[-2,3]$ ?

anonymous · Answer

hint: what is the domain of $f(x)=\frac{x+3}{x-2}$ ?

majikdusty · Answer

No it is not

majikdusty · Answer

i thought there was some rule where it had to be on the open interval?

anonymous · Answer

Isn't @satellite73 right?