(1). Sketch the graph of a polynomial function that satisfies each set of conditions. (2 Marks each)

a) degree 4, positive leading coefficient, 3 zeros, 3 turning points

b) degree 4, negative leading coefficient, 2 zeros, 1 turning point

c) degree 4, positive leading coefficient, 1 zero, 3 turning points

d) degree 3, negative leading coefficient, 1 zero, no turning points

e) degree 3, positive leading coefficient, 2 zeros, 2 turning points

f) degree 4, two zeros, three turning points, Range { y R | y 5 }