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 g(x) if x≥0 Are there any breaks in the domain of h (x)? Explain why or why not
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 g(x) if x≥0 Are there any breaks in the domain of h (x)? Explain why or why not
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...
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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) = f(x) if x<0 g(x) if x≥0
Are there any breaks in the domain of h (x)? Explain why or why not
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