Create a possible polynomial function from the given roots, and then state the maximum number of turning points and state the end behavior.

1. {-3,5}

2. {-2, 1, 4}

3. {-2, 0 multiplicity of 2, 1}

4. {2 multiplicity of 2, 3 multiplicity of 2}

Consider the polynomial function p (x) = 5(x - 3)^2 (x - 2)^3 a.) List each real zero and its multiplicity. Zero:_________: Multiplicity: _______ Zero: _________: Multiplicity: ________ b) Determine whether the graph crosses, or touches the x-axis at each x-intercept. At x = ________, the graph crosses/touches the x-axis. (circle one) At x = _________, the graph crosses/touches the x-axis. (circle one) c) Determine the degree and the maximum number of turning points on the graph of p(x). d.) Describe the end-behavior of p(x). Form a polynomial function whose real zeros and degree are given. Zeros: -1, 1, 3; degree 3 Consider the rational function given by R(x) = x/x-4. a.) Find the domain of the function. b.) Find the vertical asymptote(s).