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 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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.1: Techniques For Finding Derivatives

Problem 35E

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