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. Finally, compare your graph with a plot obtained by the grapher or your calculator. - 3x + 2)(x+4) 1. y = 2. y = (x-3)/(x+4) 3. y = x/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...) I () (Domain: x > 0) 5. y = 6. y = sin x 2 cosx. Hint: Maybe show first that the function can be converted to a linear expression with cos(2x). You may use these two formulas: sinx = 1-cos 2x and cosx = 1+cos 2x 2 2