Question
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
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.
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