Andrew and his children went into a grocery store and he bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He
bought a total of 16 apples and bananas altogether. By following the steps
below, determine the number of apples, x, and the number of bananas, y,
that Andrew bought.

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.