rolle’s and intermediate value theorems

Question 1

Rolle’s theorem conditions

Answer 1

1. continuous on closed interval
2. differentiable on open interval
3. f(a)=f(b)

Question 2

Rolle’s theorem conclusion

Answer 2

there exists at least one c on the open interval such that f’(c)=0

Question 3

MVT conditions

Answer 3

1. f(x) is continuous on closed interval
2. f(x) is differentiable on open interval

Question 4

MVT conclusion

Answer 4

there exists at least onee c on closed interval such that