The expression
475
⋅
1.07
6
t
475⋅1.076
t
475, dot, 1, point, 076, start superscript, t, end superscript models the average annual per capita health care costs, in dollars, in the US as a function of the number of years since
1970
19701970.
What does
1.076
1.0761, point, 076 represent in this expression?

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.