Jessica knows that .57575757 is a rational number, so she should be able to write it as a fraction. She wonders how to rewrite it, though. She started to rewrite it as 57/100 but she is not sure if that correct. Is 57/100 equal to .57575757? Explain your answer.

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Find the quotient with the restriction.

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.