Homework Answers
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x...
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
5. Let p(x) = 6 - 27r+ 39x2 – 3x - 15 (a) (2 points) How...
5. Let p(x) = 6 - 27r+ 39x2 – 3x - 15 (a) (2 points) How many zeros (real and complex, possibly with repetition) does f(x) have? What theorem did you use to get this answer? (b) (3 points) Determine all possible rational roots of p(x). (c) (2 points) What values from part (b) are actually roots of p(x)? You do not need to justify your answer. (d) (6 points) Find all other real and complex roots of p(x). Show...
For this problem let f(x) = 23 - 222-2 +2. a) List all possible rational zero...
For this problem let f(x) = 23 - 222-2 +2. a) List all possible rational zero of the function f(x), separated by commas: b) List all zeros of the function f(x), separated by commas: For this problem let f(1) = 2 23 - 322 - 82 +12 a) List all possible rational zeros of the function f(x), separated by commas: b) List all zeros of the function f(2), separated by commas:
only questions "d through f" Name Math 1314 Lab Module 6 For each of the following...
only questions "d through f"
Name Math 1314 Lab Module 6 For each of the following problems, show all work. Simplify and clearly indicate all answers. 1. For the function f(x) = 3x - 4x° + x° +6x-2 a. State the degree of the polynomial. b. State the number of zeros the polynomial function will have. C. Use the Rational Zero Theorem to list all of the possible rational zeros d. Use trial and error to find two zeros of...
Find all the zeros of the function and write the polynomial as a product of the...
Find all the zeros of the function and write the polynomial as a
product of the linear factors
b) Find all the zeros of the function and write the polynomial as a product of linear factors f(x) = x+ + 2x3 – x2 + 4x - 6 List all possible rational zeros. 1) Use the synthetic division to find rational zeros. remaining zeros of f(x). H HO iv) Complete the linear factorization of the function f(x).
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the...
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the x-intercept. Show all work. (c) Find the vertical asymptote(s). Show all work. (d) Find the horizontal asymptote. Explain your solution. (e) Does the rational expression have any holes? Explain.
Include all relevant work please. 22.Using the function f(x) = 2x3 - 3x2 - 18x -...
Include all relevant work please.
22.Using the function f(x) = 2x3 - 3x2 - 18x - 8. Use your graphing calculator to help you. a. List the potential rational zeros. [2] P 9 b. Find one rational zero of f(x) using synthetic division. b. One rational zero [3] c. Rewrite f(x) using the Division Algorithm after finding one rational zero. c. f(x) = [2] d. Find all zeros of f(x). (Do not get them by graphing on your calculator!) Show...
Question 32 Find (fg)(x). f(x)= 3x g(x)= 5x+ 7 O None of these og)(x)= x/15+21x O...
Question 32 Find (fg)(x). f(x)= 3x g(x)= 5x+ 7 O None of these og)(x)= x/15+21x O [g)(x)= 15x2 + 7 o Vg)(x)= V8x+ 7 O V&)x)15x2+ 21x og)(x)=xV15+/21x Question 41 1 pts List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). Q(x)=x*- 4x- 5x+8 O 1.8 - 1. - 2. - 4.-8 Ot1.18 None of the above O 1.2.4,8 O +1.2+4,18
show work, neat writting please and thanks! 9) Given: f(x) = x - 7x2 + 4x...
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u)...
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
5. Let p(x) = 6 - 27r+ 39x2 – 3x - 15 (a) (2 points) How many zeros (real and complex, possibly with repetition) does f(x) have? What theorem did you use to get this answer? (b) (3 points) Determine all possible rational roots of p(x). (c) (2 points) What values from part (b) are actually roots of p(x)? You do not need to justify your answer. (d) (6 points) Find all other real and complex roots of p(x). Show...
For this problem let f(x) = 23 - 222-2 +2. a) List all possible rational zero of the function f(x), separated by commas: b) List all zeros of the function f(x), separated by commas: For this problem let f(1) = 2 23 - 322 - 82 +12 a) List all possible rational zeros of the function f(x), separated by commas: b) List all zeros of the function f(2), separated by commas:
only questions "d through f"
Name Math 1314 Lab Module 6 For each of the following problems, show all work. Simplify and clearly indicate all answers. 1. For the function f(x) = 3x - 4x° + x° +6x-2 a. State the degree of the polynomial. b. State the number of zeros the polynomial function will have. C. Use the Rational Zero Theorem to list all of the possible rational zeros d. Use trial and error to find two zeros of...
Find all the zeros of the function and write the polynomial as a
product of the linear factors
b) Find all the zeros of the function and write the polynomial as a product of linear factors f(x) = x+ + 2x3 – x2 + 4x - 6 List all possible rational zeros. 1) Use the synthetic division to find rational zeros. remaining zeros of f(x). H HO iv) Complete the linear factorization of the function f(x).
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the x-intercept. Show all work. (c) Find the vertical asymptote(s). Show all work. (d) Find the horizontal asymptote. Explain your solution. (e) Does the rational expression have any holes? Explain.
Include all relevant work please.
22.Using the function f(x) = 2x3 - 3x2 - 18x - 8. Use your graphing calculator to help you. a. List the potential rational zeros. [2] P 9 b. Find one rational zero of f(x) using synthetic division. b. One rational zero [3] c. Rewrite f(x) using the Division Algorithm after finding one rational zero. c. f(x) = [2] d. Find all zeros of f(x). (Do not get them by graphing on your calculator!) Show...
Question 32 Find (fg)(x). f(x)= 3x g(x)= 5x+ 7 O None of these og)(x)= x/15+21x O [g)(x)= 15x2 + 7 o Vg)(x)= V8x+ 7 O V&)x)15x2+ 21x og)(x)=xV15+/21x Question 41 1 pts List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). Q(x)=x*- 4x- 5x+8 O 1.8 - 1. - 2. - 4.-8 Ot1.18 None of the above O 1.2.4,8 O +1.2+4,18
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
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