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17) For the following polynomials : ) = (x - 1)*(z – 2) a) List each...
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...
For the potynomial Lunction below. answer parts (a throug h Ca) List each real zero and its multi...
For the potynomial Lunction below. answer parts (a throug h Ca) List each real zero and its multiplicity. b) Detarmine whether the graph crosses Determine turning poirts on the aroph. a)Detemine the end behavior; that 1s nd tho ponler function that the graph of f resemblas for large valuies of X
For the potynomial Lunction below. answer parts (a throug h Ca) List each real zero and its multiplicity. b) Detarmine whether the graph crosses Determine turning poirts on the...
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)...
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
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...
For the given function complete the following steps. f(x) = -2(x - 3)²(x + 1)^ 1....
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.
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...
Consider the following. g(x) = 3x(x2 - 4x – 2) (a) Find all real zeros of...
Consider the following. g(x) = 3x(x2 - 4x – 2) (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 0, x= 2 +V6 , x = 2 – V6 x X = (b) Determine whether the multiplicity of each zero is even or odd. smallest x-value even multiplicity even multiplicity largest x-value even multiplicity (c) Determine the maximum possible number of turning points of the...
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...
1) find the vertex and axis of symmetry of the graph of the function. 2) determine...
1) find the vertex and axis of symmetry of the graph of the
function.
2) determine the domain and the range of the function.
3) State whether the function is a polynomial function or not.
If it is, give its degree. If it is not, tell why not.
4) For the polynomial, list each real zero and it’s
multiplicity. Determine whether the graph crosses or touches the
x–axis at each x-intercept.
vertex and axIS oF Sm f(x) = x2 +...
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...
For the potynomial Lunction below. answer parts (a throug h Ca) List each real zero and its multiplicity. b) Detarmine whether the graph crosses Determine turning poirts on the aroph. a)Detemine the end behavior; that 1s nd tho ponler function that the graph of f resemblas for large valuies of X
For the potynomial Lunction below. answer parts (a throug h Ca) List each real zero and its multiplicity. b) Detarmine whether the graph crosses Determine turning poirts on the...
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)...
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
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.
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...
Consider the following. g(x) = 3x(x2 - 4x – 2) (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 0, x= 2 +V6 , x = 2 – V6 x X = (b) Determine whether the multiplicity of each zero is even or odd. smallest x-value even multiplicity even multiplicity largest x-value even multiplicity (c) Determine the maximum possible number of turning points 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...
1) find the vertex and axis of symmetry of the graph of the
function.
2) determine the domain and the range of the function.
3) State whether the function is a polynomial function or not.
If it is, give its degree. If it is not, tell why not.
4) For the polynomial, list each real zero and it’s
multiplicity. Determine whether the graph crosses or touches the
x–axis at each x-intercept.
vertex and axIS oF Sm f(x) = x2 +...
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