The function and interval for which the Mean Value Theorem does not apply is f(x) = 2x, [0,1].
This is because the function is continuous on the closed interval [0,1] and differentiable on the open interval (0,1), which are the requirements for the Mean Value Theorem to apply.
Choose the function and interval for which the Mean Value Theorem does not apply. (1 point) Responses f(x)=x2+2x, [−2,2] f ( x ) = x 2 + 2 x , [ − 2 , 2 ] f(x)=x+1x, [12,32] f ( x ) = x + 1 x , [ 1 2 , 3 2 ] f(x)=x+5x−5, [−5,5] f ( x ) = x + 5 x − 5 , [ − 5 , 5 ] f(x)=x3+x−2, [−1,1] f ( x ) = x 3 + x − 2 , [ − 1 , 1 ] f(x)=2x, [0,1]
1 answer