Which rule yields the dilation of the figure qrst centered at the origin?
a) (x, y) → (3x, 3y)
b) (x, y) → (
1
3
x,
1
3
y)
c) (x, y) → (x + 3, y + 3)
d) (x, y) → (x +
1
3
, y +
1
3
)

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.