A: Create a polynomial function of degree 5 with 4 terms with the following properties:

(i) Any term with a variable raised to an odd power has an odd coefficient

(ii) Any term with a variable raised to an even power has an even coefficient that is less

than 0

(iii) No terms have the same coefficient.

Your function must be simplified.

B: Create a rational function with the following properties:

(i) The polynomial in the denominator of the function is of greater degree than the

polynomial in the numerator.

(ii) The rational function has at least 2 vertical asymptotes at x = 3 and x = 3.

(iii) The rational function has an x-intercept at (1, 0).

Your function must be simplified.

C;How can you determine if a relation is a function? Justify your response using an example or explanation.