Determine the open intervals on which the graph is concave upward or concave downward. ( Enter your answers using interval notation. If an answer does not exist, enter DNE.) f ( x ) = - X2 x2 + 4 concave upward X concave downward XConsider the following function. f(x) = Vx - 1, (5, 2 ) (a) Find an equation of the tangent line to the graph of fat the given point. (b) Use a graphing utility to graph the function and its tangent line at the point. 107 10 7 A- 2 5 10 15 20 5 10 15 20 O O 10 10 7 4- 2- 5 5 10 15 20 -5 5 10 15 20 O O xThe formula for the volume of a cone is given below. Find the rate of change of the volume for each of the radii given below if dridt is 5 inches per minute and h = 27r. v = (1/3)]th (a) r = 4 in (b) r: 21 in Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) {x) = x - 11x + 67