The number of school buses needed to transport students on a field trip is given by the function f(x) = where x represents the number of students going on the trip. What is the domain of this
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function?
A. 'x is the set of all real numbers.
B. x is the set of all integers.
c. x is the set of all nonnegative integers.
D. x is the set of all nonnegative real numbers.

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.