Each graph below represents a polynomial function Complete t

Each graph below represents a polynomial function. Complete the following table. (no explanation required)

Solution

(a) for degree n, the graph will have, at most, n – 1 bumps. The bumps represent the spots where the graph turns back on itself and heads back the way it came.

Hence for graph A, there is 3 bumps it means 4 degree , even degree

For graph B , there is 4 bumps it means 5 degree , odd degree

(B) even-degree polynomials are either \"up\" on both ends (entering and then leaving the graphing \"box\" through the \"top\") or \"down\" on both ends (entering and then leaving through the \"bottom\"), depending on whether the polynomial has, respectively, a positive or negative leading coefficient. On the other hand, odd-degree polynomials have ends that head off in opposite directions. If they start \"down\" (entering the graphing \"box\" through the \"bottom\") and go \"up\" (leaving the graphing \"box\" through the \"top\"), they\'re positive polynomials; if they start \"up\" and go \"down\", they\'re negative polynomials.

For graph A ,positive leading coefficient

For graph B, negative leading coefficient

(C)you can tell how many times the graph is going to touch or cross the x-axis by looking at the zeroes of the polynomial

For graph A , 4 real zero

For graph B, 3 real zero