COMPLETE ANSWERS WITH COMPLETE EXPLANATION

2 - 1 Letr(x)=x4+4x32xZ12x+9, x=1fx2+2x_3 and x=_2_x + , 9(3 '1) x +2x3 Part A: Use complete sentences to compare the domain and range of the polynomial function f(x) to that of the radical function 90!) Part B: How do the breaks in the domain of h (x) relate to the zeros of f(x}? (5 points) Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g(x) = /x - 3. Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. (5 points) (f( x) if x 3 x2 -7x +12 Part A: Graph the piecewise function f (x) and determine the range. (5 points) Part B: Determine the asymptotes of f (x). Show all necessary calculations. (5 points) Part C: Describe the end behavior of f (x). (5 points)x3 - 9x for x 3 Part A: Graph the piecewise function g(x) and determine the domain. (5 points) Part B: Determine the x-intercepts of g(x). Show all necessary calculations. (5 points) Part C: Describe the interval(s) in which the graph of g(x) is positive. (5 points)