F(x)=(x+1)(x-2)(x-3)^2

for a single root -1 and 2 the graph _ the x axis at the intercepts

Crosses
Does not intersect
Touches

For the double root 3, the graph _ the x-axis at the intercepts

Crosses
Does not intersect
Touches

Find the values of y: 3y^3(y^2+ 2/3y)=0

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.

At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $12.90. the farley family bought 3 hot dogs and 4 juice drinks for $8.55. find the price of a hot dog and the price of a juice drink.