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1: Let f (x) = x4 - 4x3 - 2x2 + 12x + 9, g(x)= vx2 - 2x-3 and N(x)= _-*+1 x2 - 2x -

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Let f (x) = x4 - 4x3 - 2x2 + 12x + 9, g(x)= vx2 - 2x-3 and N(x)= _-*"+1 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 g(x). (5 points) Part B: How do the breaks in the domain of h(x) relate to the zeros of f (x)? (5 points) = Q > Source vc BIUS XXXX 1 :(1 9 232 E Styles Format Font - Size - A - A - ?Let f (x) be a polynomial function with a zero of multiplicity of 1 at 4 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g(x) = /x - 4. Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. (5 points) f ( x) if x Source IVC BIUSXX IX 13 Styles Format . Font Size - A - A- ?2*+1 -3 for x $2 A piecewise function f (x) is defined by f (X) = -x' + 2x+3 for 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) PA Q > Source V C BIUS XXXX 1 : : 9) = = = Styles . Format Font - Size - A - A - ?x3 - 4x for x

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