:(
which description could correctly describe the graph of f(x)=−x4+2x3+21x2−62x+40?

a)the function approaches infinity as x approaches positive or negative infinity. the function has a local maximum at (1.47,5.34) and local minima at (−4.72,−764.22) and (3.25,−21.62). the function has zeros at (−7,0), (1,0), (2,0), and (4,0).

b)the function approaches negative infinity as x approaches positive or negative infinity. the function has local maxima at (−3.23,283.11) and (3.26,17.41) and a local minimum at (1.47,−4.08). the function has zeros at (−5,0), (1,0), (2,0), and (4,0).

c)the function that approaches negative infinity as x approaches positive or negative infinity. the function has local maxima at (−5.96,40.04) and (−1.43,3.51) and a local minimum at (−3.11,−8.11). the function has zeros at (−7,0), (−4,0), (−2,0), and (−1,0).

d)the function approaches infinity as x approaches positive or negative infinity. the function has local maxima at (−3.23,283.11) and (3.26,17.41) and a local minimum at (1.47,−4.08). the function has zeros at (−5,0), (1,0), (2,0), and (4,0).