Keisha's teacher gives her the following information: • m, n, p, and q are all integers and p = 0 and q +0
A = and B =
What conclusion can Keisha make?
A+B=
mp+ng
PO
so the sum of two rational numbers is a rational number.
A+B=mpung
so the sum of a rational number and an irrational number is an irrational number.
PA
A B
mp+7g
PG
so the product of two rational numbers is a rational number.
А - В
mpng
PA
so the product of two irrational numbers is an irrational number.

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.