Math 110 Course Resources - Curve Sketching Course Packet on intervals of concavity Suppose the second derivative of f is given by F(x) = 8(x- + 25) Determine the intervals of concavity of f. (36 - x2)5 Enter your answer using interval notation. If an answer does not exist, enter DNE. fis concave up on (-6,6) fis concave down on (-00,00) XMath 110 Course Resources - Curve Sketching Course Packet on intervals of concavity Suppose the second derivative of f is given by f"(x) = -20x*(x - 5)(x2 + 36). Determine the intervals of concavity of f. Enter your answer using interval notation. If an answer does not exist, enter DNE. fis concave up on (5,00) X fis concave down on (-00, 5) XMath 110 Course Resources Curve Sketching Course Packet on inflection points Consider the function f(x) = 3x5 - 20x4 + 40x5 + 27x - 42. Enter the number of inflection points of f(x). 2 X Determine the x-coordinates of the inflection points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any inflection points. (0, - 42) XMath 110 Course Resources - Curve Sketching Course Packet on inflection points Consider the function f(x) = 3x - 250x3 + 41x - 16. Enter the number of inflection points of f(x). 2 X Determine the x-coordinates of the inflection points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any inflection points