If a triangle has side lengths of 5.6 yards, 7.1 yards, and x yards, find the range of possible values of x.

a.
1.5 < x < 12.7
b.
0 < x < 12.7
c.
0 < x < 1.5
d.
x > 1.5

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.