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3. (6 points) Given the following graph of f(x), a. Identify the zeroes and their multiplicities...
Q2 4 Points For questions 2.1 and 2.2, find and graph a polynomial function with the given zeros, multiplicities, and degree. (There are many correct answers.) Zero: -3, multiplicity: 1 Zero: 1, multiplicity: 3 Degree 4 Rises to the right Rises to the left Q2.1 2 Points Write the function definition. Leave your answer in factored form. You do not have to multiply it out. f(x) = (type your answer below or upload a picture) N Enter your answer here...
2. The graph of a function, f(x), is provided to the right. 2 Use this graph to answer each of the following questions. (a) You are also told that f(x) passes through (1, 0.8). -4-3-2f11 1 2 3 Find the equation of f(x), where you use the smallest degree possible. -2 (You can write your answer in factored form.) [6 pts] -3 -4 -5 -6 -7 -8 -9 (b) Based on the graph, describe the end behaviors of f(x). [2...
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 0, 7, -6 Leave your answer in factored form f(x)-Ф
The function defined by f(x) = x4 + 5x3 - 48x? - 252x has the graph, as shown. 1400 Use the graph to factor the polynomial. -6 - 1400 What is the factored form of the polynomial? f(x)=N (Simplify your answer. Type your answer in factored form.)
1. Given the graph below: a. Find all possible zeros. Indicate whether the zeros are odd or even multiplicity with reasoning. (4 points) b. Find a possible polynomial f(x) with the least degree from the given graph. Leave your answer in linear factors form. (You do not need to multiply out.) Be sure to find the leading coefficient with the given point "A" on the graph. (6 points)
For the given function complete the following steps. f(x) = -2(x - 3)²(x + 1)^ 1. Find the leading term of f and identify the leading coefficien and degree of the function. 2. Analyze the end behavior of the graph. 3. Find all zeros and their multiplicities. Identify where the graph crosses or touches x-axis. 4. Find the maximum number of turning points of the graph. 5. Sketch the graph of the function using information obtained in steps 1-4.
Write a polynomial, P(x), in factored form given the following requirements • Degree: 3 • Zeros at (8,0), (2.0), and (-5.0) • intercept at (0,80), Provide your answer below: P(x) = 0
9-11 9. Find the polynomial of degree 4 whose graph is shown. (It is not necessary to multiply out - You can leave your answer in factored form) 10. Find all real and complex zeros of the function f(x) = 3x* +5x' +25x +45x-18. 11. Find a polynomial of degree 4 that has zeros of 1, 2, and 1+i.
1. 2. 3. The function defined by f(x) = x4 + 4x3 - 16x2 - 64x has the graph, as shown. 200- X Use the graph to factor the polynomial. 7 -200 What is the factored form of the polynomial? f(x) = (Simplify your answer. Type your answer in factored form.) Graph the polynomial function f(x) = 2x3 X° + 1. Then answer parts a and b. Choose the correct graph below. O A. OB O c. OD У AY...
3. Find the equation of the tangent line to the graph of f(x) = 3x" – 38x that is perpendicular to the line x - 2y = 6. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)