How did the cotton gin affect slavery in the United States in the late 1700s and early 1800s? A. It made new states wanting to join the Union to enter as slave states versus free states.
B. It supported the idea that the movement to the far west was about the spread of slavery.
C. It increased cotton production and cotton sales, which caused the need for more enslaved Africans in the South.
D. It led to the increase of the abolitionist movement throughout the South.

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.