Jiro is helping an artist paint a mural. The artist asks him to paint a triangle with a 70° angle and sides that are 6 ft and 8 ft long. Do these conditions result in
a unique triangle, more than one triangle, or no triangle? Explain. Support your
explanation with drawings.

For the function, f(x) = -5x 2, find f(-4).

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.

15 points what is the end behavior of this graph? & what is the asymptote of this graph?