Explain the relationship between the degree of a polynomial function and the number of turning points on its graph.

Q: Explain how to find the degree of a polynomial.

A: To find Degree of a polynomial

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

A:

Q: Analyze the polynomial function f(x)=6x(x^2-9)(x+5) The graph of f behaves like y__? for large…

A: Consider the given function.

Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function.

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

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

A: No, it does not make any sense to say that while trying  to determine end behaviour, it’s the…

Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function.f(x) = 12x3 +…

A: fx=12x3+4x

Q: sketch the graph of the polynomial function make sure your graph shows all intercepts and exhibits…

A:

Q: Which of these best exemplifies a sketch of the graph of the polynomial function fx)=x(x-3)(x+2)?

A: A root is a value for which a given function equals zero. When that function is plotted on a graph,…

Q: Sketch the polynomial curve y=3x^5-20x^3.

A:

Q: How do you graph a polynomial?

A: The steps which involved on graphing a polynomial function.Compute the factors of the given…

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: A 36-cm wire is cut into four pieces to form a rectangle with width x cm. a. Write a polynomial…

A:

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

A: The main objective is to determine whether thye polynomial function can have no y-intercept or not.…

Q: What is a polynomial function?

A: To Explain: what is a polynomial function

Q: snip

A: f(x)=x3+2.48x2-4.3155x+2.484406

Q: What does the graph of the polynomial function tell you about each of the following. Explain your

A: Introduction: Leading coefficient test: When the leading coefficient is positive and power is odd…

Q: What is the domain of a polynomial?

A: We have to find the domain of polynomial function. We know that polynomial is defined as set of real…

Q: What is a polynomial? What is the domain of every polynomial function?

A: given,       to define polynomial and domain of every polynomial function

Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits…

A:

Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits…

A: The given function is  P(x) = x3(x+4)(x-5)2

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

A:

Q: Why is it not a polynomial function

A: A Polynomial function is expressed in the form of P(x)=anxn+an-1xn-1+an-2xn-2+...+a2x2+a1x+a0And the…

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

A: case (1) When n is odd and an  is positive. Then the graph is falls to the left and rises to the…

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

A:

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

A: Let f(x)=anxn+an-1xn-1+⋯+a3x3+a2x2+a1x+a0  be a polynomial of degree n. A root or a zero of a…

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

A:

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

A:

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: (c) y degree leading coefficient positive

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: Explain why the graph of a quadratic polynomial can never have an inflection point.

A: We have to show that the graph of quadratic polynomial never have an inflection point.

Q: How can you tell if (x-3) is the factor of a particular polynomial function? Explain in detail.

A:

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: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

A: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

Q: Can the graph of a polynomial have vertical or horizontal asymp-totes? Explain.

A: Given: Can the graph of a polynomial have vertical or horizontal asymptotes?

Q: Explain the steps to sketch a graph of this factored form polynomial function. f(x)= (x-2)(x-1)3

A: Given,         The function is fx=x-2x-13 .

Q: Graph the polynomial function f(x) = -x'.

A:

Q: Does the degree of a polynomial function determine whether the function iseven or odd? Explain

A: Does the degree of a polynomial function determine whether the function iseven or odd? Explain

Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits…

A: The x-intercept of a graph is the point where the graph meets the x-axis. The y-intercept of the…

Q: How can a polynomial function be graphed without the use of a calculator?

A: Polynomial function can be graphed without the use of a calculater with the steps provided in next…

Q: Determine whether the function is a polynomial function. f(x) = 4x + 2x2

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Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits…

A:

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

A: Given: To given an explanation that whether the graph of the polynomial function have no…

Q: Describe the right-hand and left-hand behavior of the graph of the polynomial function.…

A: Right and left behavior of any polynomial depends on its degree ( highest power of x ) and co…

Q: 2. If fis a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a…

A: Given  The f is polynomial function  f(a) and f(b)  are  values of function at point a  and b…

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

A:

Q: What is the equation of this degree 6 polynomial function?

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.