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Use a tree diagram to answer the question: How many ways can you select a lunch combo if you have 6 sandwich choices, 3 side choices, and 4 choices for drinks? A lunch combo consists of 1 sandwich, 1 side item, and 1 drink.

13 ways

26 ways

72 ways

144 ways

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.