Consider the function f(x) = x^2-4x+2 on the interval [ 0 , 4 ] .
Verify that this function satisfies the three hypotheses of Rolle's
Theorem on the inverval.

f(x) is on [0,4] ;

f(x) is on (0,4) ;

andf(0)=f(4)= .

Then by Rolle's theorem, there exists at least one valuec such that f'(c)=0 .
Find all such values c and enter them as a comma-separated list.

Values ofc= :

and

Then by Rolle's theorem, there exists at least one value

Values of

You can earn partial credit on this problem.