Math

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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.

1. = (x^2-3x+2)(x+4)

2. = (x-3)/(x+4)

3. = x^2/root (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. = (x/2)^x(Domain: > 0)

6. = sin^2 x-2 cos^2 x. Hint: Maybe show first that the function can be converted to a linear expression with os (2x). You may use these two formulas: in^2 x = [1-cos 2 x]/2and os^2 x = [1+cos 2x]/2.