The following data represents the percentage of the population in a certain country aged 40 or older whose age is x who do not have a college degree of some type. No college degree:C(x) Age: x
25.4 40
23.2 45
21.8 50
24.5 55
26.1 60
29.8 65
Find a quadratic model that describes the relationship between age, x, and the percentage of the population that do not have a college degree. Use the model to predict the percentage of 53-yr-olds that do not have a college degree

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.