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 of x equals the cube root of x minus 3. Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. Part B: Let h (x) be the piecewise defined function of h(x) = { f(x) if x<0 (see photo) { h(x) if x≥0 Are there any breaks in the domain of h (x)? Explain why or why not. Show all necessary calculations.
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 of x equals the cube root of x minus 3.
Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations.
Part B: Let h (x) be the
{ h(x) if x≥0 Are there any breaks in the domain of h (x)? Explain why or why not. Show all necessary calculations.
![h(x) =
[f(x)
(g(x)
if x<0
if x>0°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5679ce6f-eb98-43e3-a06b-da245d972996%2F4ff3317f-121e-4113-b65f-093ec2f30837%2Fwrktawo_processed.gif&w=3840&q=75)
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