Hello Tutors please help with the following questions by providing a detailed steps:

NOTE: THIS IS NOT FOR AN ASSIGNMENT BUT MERELY FOR MY OWN UNDERSTANDING! SO PLEASE FOR THE SAKE OF MY UNDERSTANDING PLEASE BE ACCURATE!

x3 - 4x for x 2 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)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) =3x - 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 2 xz -5x +6 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)