On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). a point is at (negative 4, negative 6). what is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )? x = −6 x = −4 y = −6 y = −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.