Why is a third-degree polynomial function with a negative leading coefficient not appropriate for modeling nonnegative real-world phenomena over a long period of time?

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

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Q: 13. Sketch a graph for a polynomial that is degree 4 with 3 x intercepts and a positive leading…

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Q: Sketch a graph of a degree 5 polynomial with 5 real zeros and a negative leading coefficient

A: Step 1: Let us consider a polynomial function of 5 degree with 5 real zeros and negitive leading…

Q: Consider the polynomial function y = 2(x - 2)³ + 5 when investigating and analyzing. Mat domain…

A: Since you have asked multiple part question, we will solve the first 3 question for you as per our…

Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: Every polynomial function of odd degree with realcoefficients has at least real zero(s).

A: Definition used -        All polynomial functions of positive, odd degree have at least one zero,…

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: Find a polynomial function of degree 4 with -3 as a zero of multiplicity 3 and 0 as a zero of…

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Q: Sketch the graph of a fourth-degree polynomial function that has a zero of multiplicity 2 and a…

A: Sketching A graph: To Sketch a graph of a polynomial function of any degree we should know its…

Q: Every polynomial function of degree 3 with real coefficients has exactly three real zeros.

A: The given statement is false.

Q: What is the relative maximum and the relative minimum for this polynomial?

A: Given that: f(x)=11x7+17x5+2x2-0x9+0x+3

Q: Determine whether the following statement is true or false. If false, explain why. A polynomial…

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Q: Sketch the graph of a fifth-degree polynomial function whose leading coefficient is positive and…

A: Consider the provided information, The zeros at x=3 of multiplicity 2. That is x-32 The standard…

Q: Is it possible for a polynomial to have two local maxima and no local minimum? Explain.

A: Maxima and minima: Functions make hills and valleys when they reach a minimum or maximum value in…

Q: Sketch the graph of a fifth-degree polynomial function that has a zero of multiplicity 2 and a…

A: A fifth degree polynomial function may have 4 turning points.If a zero is multiplicity 2, then the…

Q: Why is a third-degree polynomial function with a negative leading coefficient not appropriate for…

A: Note that a third-degree polynomial with a negative leading coefficient that used to model real-life…

Q: In Problem,construct a polynomial function f with the given characteristics.

A: According to the question,   The polynomial will be, y=kx--3x-1x-4y=kx+3x-1x-4…

Q: Determine a possible 3rd degree polynomial function in factored form with its only (3, 0) and (-2,…

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Q: If a third degree polynomial has a lone x-intercept at x = a discuss what this implies about the…

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Q: 19. Sketch a graph of a polynomial function with positive lead coefficient and an odd degree.

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

Q: What is the smallest-degree polynomial that has at least one maximum and one minimum?

A: Consider a polynomial of degree 3. Consider that the derivative of a third degree polynomial is a…

Q: 2nd degree polynomial function whose graph contains the point (0,-9) .

A: We will consider the standard 2 degree polynomial equation and then we will put the values of graph.

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

A: Given

Q: The polynomial parent function y = x* has been transformed. What is the equation of the new image

A: Introduction: The shifting properties of a graph are very significant. Using these laws, one can…

Q: Write a polynomial function with minimum degree andleading coefficient 1 that has zeros x =…

A: If  zero is a and its multiplicity is m, we can write it as (x-a)m

Q: find a polynomial function with leading coefficient 1  that has the given zeros, multiplicities, and…

A: Given that a polynomial, P of degree 4 is formed with leading coefficient 1 with the zero 2, having…

Q: A polynomial function has zeros at  -4 (multiplicity 3), -1(multiplicity 8), and  2(multiplicity 1).…

A: Solve the following

Q: In Problem, form a polynomial function whose real zeros and degree are given.Answers will vary…

A: The equation of three-degree polynomial also called cubic polynomial is in the form of…

Q: A rectangle has a length of 18 units and a width of 14 units. Squares of x by x units are cut out of…

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Q: how you come up th

A: Sketch the graph of a sixth-degree polynomial function whose leading coefficient is negative and…

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

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Q: A polynomial function of degree n(n 2 3) can have at most (n - 2) inflection points.

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Q: polynomial function with real coefficients whose zeros are as shown in the image and a solution…

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Q: Explain why odd-degree polynomials can have only local maximums and/or minimums, but even-degree…

A: The odd degree function extends its value from negative infinity to positive infinity or vice-versa…

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: Find a polynomial function of degree 6 with -2 as a zero of multiplicity​ 3, 0 as a zero of…

A: Given that:    A Polynomial of degree 6 with -2 as a zero of multiplicity 3, 0 as a zero of…

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

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Q: Find a polynomial function of degree 4 with the zeros - 1 (multiplicity 2) and 1 multiplelty , whose…

A: Given that , a polynomial function of degree 4 with the zeros-1 multiplying 2 and 1multiplying 2…

Q: True or false: Even-degree polynomial functions have graphs with the same behavior at each…

A: Definition used -          End behavior of the graph of a polynomial function -           When the…

Q: Sketch a graph of a degree 3 polynomial with a positive leading coefficient, two turning points and…

A: Observe that a polynomial of nth degree have at most 2 turning points.  A turning point is a point…

Q: Why is a polynomial function of degree 3 with a negative leading coefficient not appropriate for…

A: We know that a third-degree polynomial with a negative leading coefficient when used to model…

Q: True or False Every polynomial function of degree 3 with real coefficients has exactly three real…

A: Consider a polynomial function: y=x3+x The graph of a polynomial function y=x3+x is give below:

Q: Here is the graph of a polynomial function with degree 4. Select all of the statements that are true…

A: Observe the given graph of polynomial and then explain according to given options.

Q: how do I Write a polynomial function of least degree with integral coefficients that has the given…

A: If k is a zero  of the  polynomial p(x)  then (x - k) is a factor of  p(x)

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 a polynomial function with the degree with two real zeros and a

A: Let us consider two real zeros at same point will be at x=2, 2 Now, We form a polynomial function…

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: What is the polynomial function in standard form with a root of multiplicity 1 at x= 3, and a root…

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Q: Find the polynomial of the specified degree whose graph is shown.

A: From the given figure, it is observed that the graph is intersecting x-axis at x=-1,  1  and  2.…