Describe a strategy for graphing a polynomial function. In your description, mention i.) intercepts, ii.) number of real and imaginary roots, iii.) the polynomiaľ's degree, and iv.) turning points. Use a polynomial of degree 3 or more as an example.

Q: Explain how to use the Leading Coefficient Test to determine the endbehavior of a polynomial…

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Q: Describe how to find the possible rational zeros of a polynomial function ?

A: We have to find the factors of the first and the last coefficient. Then we will divide all the…

Q: Describe how to use Descartes’s Rule of Signs to determine the possible number of positive real…

A: Descartes' Rule of Sign – It is used to determine the number of real zeros of any given polynomial…

Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: Given: Zeros of the polynomial=-1,1,3 Degree=3

Q: Describe a strategy for graphing a polynomial function. In your description, mention intercepts, the…

A: In order to draw the graph for a polynomial function, the following approaches can be taken: We get…

Q: Explain the relationship between the degree of a polynomial function and the number of turning…

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Q: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots

A: We need to give an example and explain why a polynomial can have fewer x-intercepts than its number…

Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: The given zeroes are -3,0,4. Then the factors are x+3, (x-0) and (x-4).

Q: Can the graph of a polynomial function have no y-intercept?Can it have no x-intercepts? Explain.

A: The graph of a polynomial function must have y-intercept. Because the domain of polynomial functions…

Q: I’m graphing a fourth-degree polynomial function with four turning points. Determine whether the…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: To determine whether the statement is true or false. The graph of every cubic polynomial has…

Q: In Exercises 21-24, identify which graphs are not those of polynomial functions. 21. 22. 23. 24.

A: To identify the function from graph which is not polynomial functions.

Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: Zeroes: -2,2,3, degree=3

Q: Explain the relationship between the degree of a polynomial and the number of turning points on its…

A: Topic:- polynomial

Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

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Q: I’m graphing a fourth-degree polynomial function with four turning points.Determine whether the…

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Q: Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: A third degree polynomial with zeros -2, 2 & 3. Since the zeros are -2, 2 & 3, therefore the…

Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: Given that, Zeros: -3, -1, 2, 5 Degree: 4

Q: What is an x-intercept of the graph of a quadratic function? How many possible x-intercepts does the…

A: In the question we have to explain the given statements.

Q: 3. Use finite differences to determine the type of polynomial function that could model each…

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Q: Graph of f

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Q: Draw Graphs of three polynomial functions?

A: Let us take three polynomial 1. x3+2x2+3x+22. x2+4x+73. x4+5x2+10

Q: Can the graph of a polynomial have vertical or horizontal asymptotes?Explain.

A: We have to determine graph of a polynomial can have any  vertical or horizontal asymptoes or not.

Q: Use the graph to write a polynomial function of least degree.

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Q: What is a polynomial function? Explain.

A: According to the question, we have to define the polynomial function. The word polynomial stand for…

Q: create your own polynomial function then graph it

A: In this question we have to graph a polynomial.

Q: view lateI 2. A 4th degree polynomial has zeros -5, 3, i and -i. Which graph could represent the…

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Q: Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: -3, -1, 2, 5 and degree 4

Q: In Exercises 83–86, determine whether thestatement is true or false. If it is false, explain why or…

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Q: Sketch a graph of the polynomial function. Locate and label all intercepts. y =-2(x-1)* (x+2)(x-4)

A: Sketch a graph of the polynomial function.Locate and label all intercepts.      y=-2x-12x+2x-4

Q: What is meant by the end behavior of a polynomial function? Explain.

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Q: Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure…

A: How to graph the polynomial.

Q: For each graph, describe a polynomial function that could represent the graph.  (Indicate the degree…

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Q: When I’m trying to determine end behavior, it’s the coefficient of the leading term of a polynomial…

A: Given, When I'm trying to determine end behavior, It's the coefficient of the leading term of a…

Q: Determine the degree, the sign of the leading coefficient, and the constant term for the polynomial…

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Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: Determine whether the given statement makes sense or does not make sense, and explain your…

Q: What can you tell about the graph of a polynomial function ofdegree n before you plot any points?

A: We can tell about the end behavior of a polynomial function based on degree and leading coefficient…

Q: how do i find the domain and range of this?

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Q: What do you call a pictorial representation of relationship of two variables in a coordinate plane?…

A: Scatterplot is a pictorial representation of relationship of two variables in a coordinate plane. Or…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: The given statement is: TRUE

Q: Write a polynomial function in standard form with zeros -3, 2, 2.

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Q: (-1, 1.5) y =,

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Q: The x-intercepts of the graph of a polynomial function are called turning points.

A: See attached file for a step by step explanation.

Q: Explain how to determine the number and type of roots (both real and imaginary) from the graph of a…

A: There are six types of roots. 1) Real and unequal. When a,b and c are real numbers, a≠0 and the…

Q: What do we mean when we describe the graph of a polynomial function as smooth and continuous?…

A: Definition used-   Differentiable function - A  polynomial function is differentiable If it is…

Q: Give a reason why the graph cannot represent a polynomial function of degree 3. Upload your…

A: Given graph can not represent the polynomial of degree 3.

Q: What are the zeros of a polynomial function and how are they found? Explain.

A: Given any polynomial the zeros of a polynomial is a root of the polynomial.      Suppose ax2…

Q: OK

A: Given query is to find the degree of the polynomial for the graph.

Q: When graphing a polynomial function, how do I determine the location of its turning points?

A: The graph of a polynomial function changes direction at its turning points. A polynomial function of…

Q: Explain the similarities and differences between quadratic functions and cubic polynomial functions…

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