This homework only: Do any four of these six problems to earn full credit. Analyze the functions (follow the graph sketching techniques) and then sketch the graph by hand. (1) y = (x2 3x 2)(x 4) (2) y = (x 3)/(x 4) (3) y = x2/x 4 (4) Pick your own function (suggestion: a polynomial of degree two or three, a square root of a linear function, a problem from your textbook, etc...) (5) y = ( x 2 )x (Domain: x > 0) (6) y = sin2 x 2 cos2 x. Hint: Maybe show first that the function can be converted to a linear expression with cos(2x). You may use these two formulas: sin2 x = 1cos 2x 2 and cos2 x = 1 cos 2x 2