IF YOU GET IT RIGHT

you just have to find the GCF

1) 15abc² and 25a³bc
2)12x⁵y and 32x⁶y
3)17pqr and 51pqr³
4)7x² and 21x
5)6x², 18x, and -12
6)4x² and 9x
7)11x²y², 33x²y and 3xy²
8)16a²b,24ab and 16b
9)49s²t² and 36s²t²

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.