Homework Answers
1) The leading term of f will be -2x^6 and the leading coefficient will be -2 and degree of the function will be 6
2) When x tends to infinity, the function f(x) will tend to -infinity, since the coefficient of highest powers of x is negative
3) There are two zeroes:
x=3 with a multiplicity of 2
x=-1 with a multiplicity of 4
4) The maximum number of turning points will be 2
5) Ploting the graph will be
Note - Post any doubts/queries in comments section.
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For the given function complete the following steps. f(x) = -2(x - 3)²(x + 1)^ 1....
Show work 9. Given the polynomial t(x) = (x-2)2(x + 8)4(x + 4)3 a. Find the...
Show work
9. Given the polynomial t(x) = (x-2)2(x + 8)4(x + 4)3 a. Find the zeros of the expression, and their multiplicities b. At each zero, determine whether the graph crosses the x-axis, or merely touches the x-axis and bounces bff c. Find the maximurp number of turning points d. Find the power function, and use it to characterize the function's end behavior
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a)...
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a) What is the degree of f(x)? The degree of f(s) is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts Olike 72 (ie both ends up) o like - 22 (ie both ends down) O like x3 (ie, lett end down, right end up) Olike - (ie, left end up right end down) None of the...
17) For the following polynomials : ) = (x - 1)*(z – 2) a) List each...
17) For the following polynomials : ) = (x - 1)*(z – 2) a) List each real zeros AND its multiplicity AND determine whether the graph crosses or touches the x-axis at each x-intercept b) Determine the maximum number of turning points on the graph c) Determine the end behavior
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...
Consider the function f(x) = 24 - 73 - 6.22 Answer all parts: (a)-(t). (a) What...
Consider the function f(x) = 24 - 73 - 6.22 Answer all parts: (a)-(t). (a) What is the degree of f(x)? The degree of f(u) is (b) Which of the following choices describe the end behavior of f(x)? Olike 2 The graph of f(x) acts (i.e. both ends up) O like ---2 (ie, both ends down) Lake 3 (ie left end down right end up) like - 3 (ie left end up, right end down) O None of the above...
Consider the function f(t) = 23 +22-22 Answer all parts: (a) ..(). (a) What is the...
Consider the function f(t) = 23 +22-22 Answer all parts: (a) ..(). (a) What is the degree of f(x)? The degree of f() is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts O like 22 (ie, both ends up) Olike -22 (1.e. both ends down) Olike 23 (i e left end down, right end up) O like-3(e. left end up, right end down) None of the above (C) State the z-intercepts...
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...
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....
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3: For the polynomial function f(x)...
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3:
For the polynomial function f(x) = -5x(x + 2)(x - 1)": 7. (4 points) The leading term when expanded is -5.2". Use this to describe the end be havior of f(x): as r → , f(x) → as I + -00, f(x) → 8. (4 points) Name the zeros of f(x) and each of their multiplicities. 9. (4 points) Come up with a rational function which has y =...
Consider the function f(x) = 23 +22 - 22 Answer all parts: (a) - (f). (a)...
Consider the function f(x) = 23 +22 - 22 Answer all parts: (a) - (f). (a) What is the degree of f(c)? The degree of f(x) is (b) Which of the following choices describe the end behavior of f(c)? The graph of f(x) acts O like 22 (i.e. both ends up) O like -2- (.e. both ends down) O like x3 (ie, left end down, right end up) O like 1-3 (.e. left end up, right end down) O None...
Show work
9. Given the polynomial t(x) = (x-2)2(x + 8)4(x + 4)3 a. Find the zeros of the expression, and their multiplicities b. At each zero, determine whether the graph crosses the x-axis, or merely touches the x-axis and bounces bff c. Find the maximurp number of turning points d. Find the power function, and use it to characterize the function's end behavior
79 Consider the function f(1) = -2(x + 1)3 Answer all parts: (a) - (f). (a) What is the degree of f(x)? The degree of f(s) is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts Olike 72 (ie both ends up) o like - 22 (ie both ends down) O like x3 (ie, lett end down, right end up) Olike - (ie, left end up right end down) None of the...
17) For the following polynomials : ) = (x - 1)*(z – 2) a) List each real zeros AND its multiplicity AND determine whether the graph crosses or touches the x-axis at each x-intercept b) Determine the maximum number of turning points on the graph c) Determine the end behavior
Consider the function f(x) = 24 - 73 - 6.22 Answer all parts: (a)-(t). (a) What is the degree of f(x)? The degree of f(u) is (b) Which of the following choices describe the end behavior of f(x)? Olike 2 The graph of f(x) acts (i.e. both ends up) O like ---2 (ie, both ends down) Lake 3 (ie left end down right end up) like - 3 (ie left end up, right end down) O None of the above...
Consider the function f(t) = 23 +22-22 Answer all parts: (a) ..(). (a) What is the degree of f(x)? The degree of f() is (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts O like 22 (ie, both ends up) Olike -22 (1.e. both ends down) Olike 23 (i e left end down, right end up) O like-3(e. left end up, right end down) None of the above (C) State the z-intercepts...
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...
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....
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3:
For the polynomial function f(x) = -5x(x + 2)(x - 1)": 7. (4 points) The leading term when expanded is -5.2". Use this to describe the end be havior of f(x): as r → , f(x) → as I + -00, f(x) → 8. (4 points) Name the zeros of f(x) and each of their multiplicities. 9. (4 points) Come up with a rational function which has y =...
Consider the function f(x) = 23 +22 - 22 Answer all parts: (a) - (f). (a) What is the degree of f(c)? The degree of f(x) is (b) Which of the following choices describe the end behavior of f(c)? The graph of f(x) acts O like 22 (i.e. both ends up) O like -2- (.e. both ends down) O like x3 (ie, left end down, right end up) O like 1-3 (.e. left end up, right end down) O None...
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