Select the statements that describe a normal distribution. the density curve is symmetric and bell‑shaped. the normal distribution is a continuous distribution. the normal distribution is a discrete distribution. the density curve is a flat line extending from the minimum value to the maximum value. approximately 32% of values fall more than one standard deviation from the mean. two parameters define a normal distribution—the median and the range.

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.