What will be the result of substituting 2 for x in both expressions below? One-half x + 4

x + 6 minus one-half x minus 2
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.