Be detailed. 20 points! will give what are the key features needed to graph a polynomial function? explain how to find these key features to sketch a rough graph of a polynomial function.

When you have a polynomial function, and you need to graph it, you need to find- y intercept (the constant at the end) zeroes( factor equation and set factorsequal to zero) end behavior( if the highest exponent is even, then if the leading coefficient is positive both sides continue up, if the leading coefficient is negative both sides continue down. If the highest exponent is odd, then if the leading coefficient is positive left side continues down, right side continues up, if the leading coefficient is negative then visa versa.) and multiplicity( if the same factor occurs multiple times- if it occurs an odd number of times, then the graph passes the x axis, if it occurs an even number, then it merely touches).

Hope I helped!