Question

I need help with graphing polynomial equations. I will give a medal and become a fan for the best answer.

1. Graph the function f(x) = (x + 3)3 by hand and describe the end behavior.
2. Graph the function f(x) = –x4 – 4 by hand and describe the end behavior.
3. Graph the function f(x) = –3x3 + 9x2 – 2x + 3 using graphing technology and describe the end behavior.
4. Graph the function f(x) = x4 – 7x3 + 12x2 + 4x – 12 using graphing technology and describe the end behavior.
5. Without using technology, describe the end behavior of f(x) = –3x38 + 7x3 – 12x + 13.