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7. Graph the polynomial function by finding the...
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2)....
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
For the polynomial function f(x)=x^4+8x^3+16x2 answer the following: A. Using the leading coefficient test , determine...
For the polynomial function f(x)=x^4+8x^3+16x2 answer the following: A. Using the leading coefficient test , determine the graphs end behaviour. B. Find the X-intercepts and at which x-intercept does the graph cross the x-axis? C. At which x intercepts does the graph touch the x axis and turn around? D. What is the y intercept? E Determine whether the graph has y axis symmetry, origin symmetry or neithr. F.If necessary, find a few additional points and graph the function. Use...
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find...
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are - (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is - (Type an integer or a simplified fraction.) (b) Determine the real zeros of the function and their multiplicity. Use this information to determine whether the graph...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph. 7) 7) - 4+ 3+ a. Determine the minimum degree of the polynomial based on the number of tuming points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph 7) 7) 2 a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even c. Approximate the real zeros of the function, and determine if their...
Analyze the polynomial function fix) = x(x 3)(x + 7) using parts (a) through (e). la...
Analyze the polynomial function fix) = x(x 3)(x + 7) using parts (a) through (e). la Determine the end behavior of the graph of the function The graph off behaves like y- for large values of Ix/ (b) Find the x-and intercepts of the graph of the function Thexintercepts) isare (Simply your answer. Type an integer or a tractionUse a comma to separate answers as needed. Type oath answer only once.) The interceptis (Simplify your answer. Type an integer or...
Analyze the polynomial function tox)(x+57(4 - X) using parts (a) through a (a) Determine the end...
Analyze the polynomial function tox)(x+57(4 - X) using parts (a) through a (a) Determine the end behavior of the graph of the function The graph off behaves ikey-for large values of lxl. (b) Find the x and y-intercepts of the graph of the function The x-intercept) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once) The interceptis (Simplify your answer. Type an integer or a fraction)...
Review for Sections 3.2 and 3.3: 1. [3 pts] Use synthetic division to divide x5 –...
Review for Sections 3.2 and 3.3: 1. [3 pts] Use synthetic division to divide x5 – x4 – 3x3 – 4x2 + 2x – 51 by x – 3. (Show algebraic work.) 2. [4 pts] Solve the equation x3 – 11x2 + 38x – 40 = 0 given that 4 is a zero of f (x) = x3 – 11x2 + 38x – 40. (Show algebraic work.) 3. [5 pts] Answer parts a. – c. below for the given polynomial...
What does the graph of the polynomial function tell you about the (A) sign of the...
What does the graph of the polynomial function tell you about the (A) sign of the leading coefficient, (B) the degree of the function, and (C) the number of real zeros? Explain your answers! A. OThe sign of the leading coefficient is negative because the end behavior is from an equation of odd degree and negative leading coefficient OThe sign of the leading coefficient is positive because the end behavior is from an equation of odd degree and positive leading...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are - (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is - (Type an integer or a simplified fraction.) (b) Determine the real zeros of the function and their multiplicity. Use this information to determine whether the graph...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph. 7) 7) - 4+ 3+ a. Determine the minimum degree of the polynomial based on the number of tuming points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine...
Determine if the graph can represent a polynomial function. If so, assume the end behavior and all turning points are represented on the graph 7) 7) 2 a. Determine the minimum degree of the polynomial based on the number of turning points. b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even c. Approximate the real zeros of the function, and determine if their...
Analyze the polynomial function fix) = x(x 3)(x + 7) using parts (a) through (e). la Determine the end behavior of the graph of the function The graph off behaves like y- for large values of Ix/ (b) Find the x-and intercepts of the graph of the function Thexintercepts) isare (Simply your answer. Type an integer or a tractionUse a comma to separate answers as needed. Type oath answer only once.) The interceptis (Simplify your answer. Type an integer or...
Analyze the polynomial function tox)(x+57(4 - X) using parts (a) through a (a) Determine the end behavior of the graph of the function The graph off behaves ikey-for large values of lxl. (b) Find the x and y-intercepts of the graph of the function The x-intercept) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once) The interceptis (Simplify your answer. Type an integer or a fraction)...
What does the graph of the polynomial function tell you about the (A) sign of the leading coefficient, (B) the degree of the function, and (C) the number of real zeros? Explain your answers! A. OThe sign of the leading coefficient is negative because the end behavior is from an equation of odd degree and negative leading coefficient OThe sign of the leading coefficient is positive because the end behavior is from an equation of odd degree and positive leading...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
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