A tangent has been drawn to the line on the graph in figure 12. Calculate the rate of reaction at this point.

Question 101 points)which equation in slope-intercept form represents the line that passes through (5, 1) and(-4,7)

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.

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.