What do we mean when we describe the graph of a polynomial function as smooth and continuous? Explain.

Q: Create 3rd degree polynomial function whose graph crosses the x-axis more than one

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 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 how the vertical line test is used to determine whether a graph represents a function ?

A: For function we know that it is should be one-one or on to for one-one at one value of x .It is…

Q: Explain why odd-degree polynomial functions can have only local maximums and minimums, but…

A: Given problem is : Explain why odd-degree polynomials can have only local maximums and/or minimums,…

Q: What information is needed to sketch a polynomial graph without creating a table of values? What is…

A: consider the polynomial px

Q: How do you predict end behavior of a polynomial? With a example explaining the behavior

A:

Q: What is the graph of a real-valued function of a real variable?

A: What is the graph of a real-valued function of a real variable.

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

A:

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

A:

Q: Graph polynomial functions using transformations

A:

Q: Analyze and sketch the graph of f(x) = x√(x2 + 2) .

A: Consider the function:

Q: What is the zeros of this function?

A:

Q: What is meant by Polynomial function in reference to algebra?

A:

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 the formula for a polynomial function of least degree. f(x)%3D %3D

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: create your own polynomial function then graph it

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

Q: 20. Explain how instantaneous rates of change could be used to locate the local maxima and local…

A: Given

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: Analyze and sketch the graph of f(x) = 2(x2 − 9) /(x2 − 4) .

A:

Q: Analyze and sketch the graph of f(x) = 2x5/3 − 5x4/3.

A:

Q: Can you explain how to make the piecewise function of the graph

A: The piecewise function of the graph is found as shown below.

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: Sketch the graph of f.

A: Sketching Graphs have a horizontal x-axis and vertical y-axis, and the point…

Q: Create 4th degree polynomial function whose graph never crosses the x-axis

A:

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: Sign of f(x) +

A: From the sign of given f(x) the x intercepts are at -3,-2,0 and 2 for x<-3 the sign of f(x) is…

Q: function

A: We will solve the problem.

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: Describe two ways the graph of a rational function differs from the graph of a polynomial function.

A: To describe the two ways of rational function

Q: What are the zeros of the function?

A:

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

A:

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

A:

Q: Vrite a polynomial function us

A: Given that: Degree = 5 Leading coefficient = Negative Zero's = x = - 1, x= 1 ( multiplicity 2) , x =…

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: What does it mean to find the zero of a function?

A: Given :  Zero of a function

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: Sketch a graph of: f(x) = 2|x + 2| – 3

A:

Q: We know three points of a function (2,1), (3, -1) and (-8,1) by simple polynomial interpolation.…

A:

Q: Use the graph to write the formula for a polynomial function of least degree. f(x) =

A: The given graph 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: how to find a possible degree in a Inferring properties of a polynomial function from its graph

A: To find a possible degree in a inferring properties of a polynomial function from its graph.

Q: OK

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

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

A:

Q: What is the Polynomials function?

A: To write about polynomial function.

Q: What is the graph of a real-valued function of a real variable? What is the vertical line test?

A: The graph of a real-valued function is a line, straight or curve which shows the variation of one…

Q: Explain how the graph also represents a linear piecewise function.

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.