For the polynomial function f(x)=x^4+8x^3+16x2 answer the following: A. Using the leading coefficient test , determine...
For the polynomial function f(x)=x^4+8x^3+16x2 answer the following:
A. Using the leading coefficient test , determine the graphs end behaviour.
B. Find the X-intercepts and at which x-intercept does the graph cross the x-axis?
C. At which x intercepts does the graph touch the x axis and turn around?
D. What is the y intercept?
E Determine whether the graph has y axis symmetry, origin symmetry or neithr.
F.If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.
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For the polynomial function f(x)=x^4+8x^3+16x2 answer the
following:
A. Using the leading coefficient test , determine...
Answer parts a.-e. for the function shown below. #x-x3-4x2-x+4 a. Use the leading coefficient tes...
Answer parts a.-e. for the function shown below. #x-x3-4x2-x+4 a. Use the leading coefficient test to determine the graph's end behavior. Which statement describes the behavior at the ends of f(x)=x"-4X-x+4? O A. The graph rises to the left and to the right. B. The graph falls to the left and to the right. ° C. The graph falls to the left and rises to the right. D. The graph rises to the left and falls to the right. b....
How do I find the parts and graph? 7. Graph the polynomial function by finding the...
How
do I find the parts and graph?
7. Graph the polynomial function by finding the following: f(x)x3x a) Leading coefficient term to determine end behavior of the function. (1 points) Real zeros and their multiplicity (these zeros are called x-intercepts), also determine whether these zeros touch or cross the x -axis.(2 points) b) c) Find the y-intercept (1 points) d) Find additional points (1 points)
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a)...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
3. Determine the equation of the function graphed to the right: [3 Points) YA 20 16H...
3. Determine the equation of the function graphed to the right: [3 Points) YA 20 16H 12 8H 4 (1,5) (0.1) f(x) = -3 2-1 1 2 3y=0 4. Determine whether the following are symmetric about the x-axis, y-axis, and/or origin. Answer 'Yes' or 'No' to each prompt below. [6 Points) b) x = y2 +3 3+ 2- 1- 4-3 -2 -1.11 1 2 3 -2- -3 x-axis Symmetry? x-axis Symmetry? y-axis Symmetry? y-axis Symmetry? Symmetry about origin? Symmetry about...
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....
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)...
Find the derivative of the function. f(x) = arccsc 8x -1 f'(x) = x\V 16x2 –...
Find the derivative of the function. f(x) = arccsc 8x -1 f'(x) = x\V 16x2 – 1 10 ny Find an equation of the tangent line to the graph of the function at the given point. y = - arccos y 37 2 xt. = - arccOS X
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...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
Determine whether or not the graph is that of a function. It is use the graph...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
Answer parts a.-e. for the function shown below. #x-x3-4x2-x+4 a. Use the leading coefficient test to determine the graph's end behavior. Which statement describes the behavior at the ends of f(x)=x"-4X-x+4? O A. The graph rises to the left and to the right. B. The graph falls to the left and to the right. ° C. The graph falls to the left and rises to the right. D. The graph rises to the left and falls to the right. b....
How
do I find the parts and graph?
7. Graph the polynomial function by finding the following: f(x)x3x a) Leading coefficient term to determine end behavior of the function. (1 points) Real zeros and their multiplicity (these zeros are called x-intercepts), also determine whether these zeros touch or cross the x -axis.(2 points) b) c) Find the y-intercept (1 points) d) Find additional points (1 points)
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
3. Determine the equation of the function graphed to the right: [3 Points) YA 20 16H 12 8H 4 (1,5) (0.1) f(x) = -3 2-1 1 2 3y=0 4. Determine whether the following are symmetric about the x-axis, y-axis, and/or origin. Answer 'Yes' or 'No' to each prompt below. [6 Points) b) x = y2 +3 3+ 2- 1- 4-3 -2 -1.11 1 2 3 -2- -3 x-axis Symmetry? x-axis Symmetry? y-axis Symmetry? y-axis Symmetry? Symmetry about origin? Symmetry about...
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....
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)...
Find the derivative of the function. f(x) = arccsc 8x -1 f'(x) = x\V 16x2 – 1 10 ny Find an equation of the tangent line to the graph of the function at the given point. y = - arccos y 37 2 xt. = - arccOS X
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...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
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