Sketch the following curves and indicate clearly the points of intersection with the axes:

a. y = (x + 1)(x + 2)(x + 3)(x + 4) 

b. y = x(x – 1)(x + 3)(x – 2)

c. y = x(x + 1)²(x + 2) 

d. y = (2x – 1)(x + 2)(x – 1)(x – 2)

e. y = x²(4x + 1)(4x – 1) 

f. y = –(x – 4)²(x – 2)²

g. y = (x – 3)²(x + 1)² 

h. y = (x + 2)³(x – 3)

i. y = –(2x – 1)³(x + 5) 

j. y = (x + 4)⁴