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16. (8 points) Consider the following possible rough sketch of the graph of a polynomial function....
Q2 4 Points For questions 2.1 and 2.2, find and graph a polynomial function with the...
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...
12. Consider the polynomial function f(x) = xº - xé - 10x - 8 a) Solve...
12. Consider the polynomial function f(x) = xº - xé - 10x - 8 a) Solve the equation algebraically f(x) = 0 by factoring. b) Sketch the graph of f(x) without a calculator. Justify your steps. c) Complete the table: (3 marks) (2 marks) (2 marks) y intercept x intercepts end behaviour degree
This Qu Sketch a possible graph of a function that satisfies the conditions below. - 1)...
This Qu Sketch a possible graph of a function that satisfies the conditions below. - 1) = -2; im f(x)2, limfx)=2 Choose the correct graph below OA Ос. OD Find the indicated limit. lim X+1 V 9x - 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim V9x - 4 = (Type an exact answer, using radicals as needed.) X-1 O B. The limit does not exist.
1. Determine the polynomial function whose graph passes through the points (0, 10), (1, 7), (3,...
1. Determine the polynomial function whose graph passes through the points (0, 10), (1, 7), (3, -11), and (4, -14). Be sure to include a sketch of the polynomial functions, showing the points. Solve using the Gauss-Jordan method or Gaussian elimination with back substitution. Show the matrix and rovw operation used for each step. 2. The figure below shows the flow of traffic (in vehicles per hour) through a network of streets. 300 200 100 500 YA Y 600 400...
Find al vertical asymptotes and create a rough sketch of the graph near each asymptote Select...
Find al vertical asymptotes and create a rough sketch of the graph near each asymptote Select the correct choice below and, if necessary, fit in the answer boxes) to complete your choice O A The function has one vertical symptote (Type an equation. Usenteers or fractions for any numbers in the equation) OB. The function has three vertical asymptotes. The most asymptote is the middle asymptotes and the rightmost asymptotis (Type an equations. Use integer or fractions for any numbers...
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...
Consider the following points. (-1, 5), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial...
Consider the following points. (-1, 5), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial function of least degree whose graph passes through the given points. p(x) = (b) Sketch the graph of the polynomial function, showing the given points. y 2 3 4 2 3 -10 -20 -20 -30 -40 -40 -60 -50 -601 -80 у BOF у 60 50 60 40 40 30 20 20 10 х 2 3 4 2 3
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) -...
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) - 8(t-2r), z(0) = 0, z'(0) = 1. Sketch the graph of the result ing function. 3. Find a first order system corresponding to the scalar equation and find its general solution. (a) y"-44y= 0. (b) t2y"- 4ty+ 4y = 0, t > 0. (It general solution is of the form y(t) = ct+ cztt.) 4. Find the general solution to the system r'= Ar,...
Problem 2 (2 points): Sketch a cubic function (third degree polynomial function) y x = 1...
Problem 2 (2 points): Sketch a cubic function (third degree polynomial function) y x = 1 and x 4 and a loc p(x) with two distinct zeros at al maximum at x 4. Then determine a formula for your function. [Hint you will have one double root.] Sketch: Formula: p(x)-
For this problem, we will consider the polynomial function f(z) = 4x4 - 1623 +2422 -...
For this problem, we will consider the polynomial function f(z) = 4x4 - 1623 +2422 - 322 +32 over the interval -3 <I<3 (a) The degree of f(x) is Number (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 -3 (ie both ends down) like 23 (ie left end down, right end up) Olike -23 -(e. left end up, right end down) O None...
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...
12. Consider the polynomial function f(x) = xº - xé - 10x - 8 a) Solve the equation algebraically f(x) = 0 by factoring. b) Sketch the graph of f(x) without a calculator. Justify your steps. c) Complete the table: (3 marks) (2 marks) (2 marks) y intercept x intercepts end behaviour degree
This Qu Sketch a possible graph of a function that satisfies the conditions below. - 1) = -2; im f(x)2, limfx)=2 Choose the correct graph below OA Ос. OD Find the indicated limit. lim X+1 V 9x - 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim V9x - 4 = (Type an exact answer, using radicals as needed.) X-1 O B. The limit does not exist.
1. Determine the polynomial function whose graph passes through the points (0, 10), (1, 7), (3, -11), and (4, -14). Be sure to include a sketch of the polynomial functions, showing the points. Solve using the Gauss-Jordan method or Gaussian elimination with back substitution. Show the matrix and rovw operation used for each step. 2. The figure below shows the flow of traffic (in vehicles per hour) through a network of streets. 300 200 100 500 YA Y 600 400...
Find al vertical asymptotes and create a rough sketch of the graph near each asymptote Select the correct choice below and, if necessary, fit in the answer boxes) to complete your choice O A The function has one vertical symptote (Type an equation. Usenteers or fractions for any numbers in the equation) OB. The function has three vertical asymptotes. The most asymptote is the middle asymptotes and the rightmost asymptotis (Type an equations. Use integer or fractions for any numbers...
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...
Consider the following points. (-1, 5), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial function of least degree whose graph passes through the given points. p(x) = (b) Sketch the graph of the polynomial function, showing the given points. y 2 3 4 2 3 -10 -20 -20 -30 -40 -40 -60 -50 -601 -80 у BOF у 60 50 60 40 40 30 20 20 10 х 2 3 4 2 3
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) - 8(t-2r), z(0) = 0, z'(0) = 1. Sketch the graph of the result ing function. 3. Find a first order system corresponding to the scalar equation and find its general solution. (a) y"-44y= 0. (b) t2y"- 4ty+ 4y = 0, t > 0. (It general solution is of the form y(t) = ct+ cztt.) 4. Find the general solution to the system r'= Ar,...
Problem 2 (2 points): Sketch a cubic function (third degree polynomial function) y x = 1 and x 4 and a loc p(x) with two distinct zeros at al maximum at x 4. Then determine a formula for your function. [Hint you will have one double root.] Sketch: Formula: p(x)-
For this problem, we will consider the polynomial function f(z) = 4x4 - 1623 +2422 - 322 +32 over the interval -3 <I<3 (a) The degree of f(x) is Number (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 -3 (ie both ends down) like 23 (ie left end down, right end up) Olike -23 -(e. left end up, right end down) O None...
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