PLEASE ANSWER STEP BY STEP ALL COMPLETELY ASAP

-x2+l Ltr =x4+4x372x2712x+9 _ 2 _ d -_ e (X) ,gmJx +2x 33" "(>0 x2+2x_3 Part A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function 900. (5 points) 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) Part B: Let h (x) be the piecewise defined function of h (x) [f ( x) if x 3 xz -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