A herd of 100 elk is introduced to a small island. The number of elk, f(x), after x years is modeled by the polynomial function f(x) = -x + 21x + 100. Use the Leading Coefficient Test to determine the graph's end behavior to the right. What does this mean about what will eventually happen to the elk population?

Q: Find  the value of the polynomial 5x-4x2 + 3 at x = 2 and  x = -1

A: Given, Polynomial  =  5x- 4x2 + 3  Finding the value of polynomial at x = 2  = 5*2 - 4(2)2 + 3 = 10…

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

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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: Below is the graph of a polynomial function with real coeffidents. All local extrema of the function…

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Q: 5. Give an example of a 4th-degree polynomial function, P(x), whose graph on a Cartesian coordinate…

A: Clearly it has been specified that the function should not have any X-axis intercept which is…

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…

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Q: When a polynomial function f is divided by x - c, theremainder is_______

A: Give a polynomial function f is divided by x - c

Q: Find the x-intercepts of the polynomial function. f(x) = x6 – 80x4 - 81x2 (х, f(x)) (smallest…

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Q: Which polynomial function has a y-intercept at y = 8 and an x-intercept at X = 2? f (x) = 2x3- 3x? -…

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Q: polynomial function. f(x) = x6 − 35x4 − 36x2 (x, f(x))  =                (smallest x-value) (x,…

A: To find X intercept first we solve the equation  f(x)=0.  and then write the X Intercept.

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

A: To draw graph of the given function

Q: Sketch the graph of the polynomial function P(x)= (x +2)(x -1)(x - 3). Make sure your graph shows…

A: According to question,  Given polynomial function,P(x) = x+2x-1x-3

Q: If a house is purchased for $106,000 and is expected to appreciate $900 per year, its value y after…

A: Given that a house is purchased for 106,000 dollars and is expected to appreciate 900 dollar per…

Q: Determine the number of zeros of the polynomial function. f(x) = x³ + 7x2 + 2

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Q: The behavior of the graph of a polynomial function to the far left or the far right is called…

A: Consider the polynomial function fx=anxn+an-1xn-1+…+a1x+a0    an≠0 In it an is called the leading…

Q: You are a bank manager. Because you want to ensure a COVID-safe environment both for your employees…

A: I have suggest a polynomial model to that shows relationship between amount needed A(n) and Number…

Q: The ________ ________ ________ is used to determine the left-hand and right-hand behavior of the…

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Q: Graph the polynomial function f(x)--(x + 1)(x - 1) (x - 3)²

A: Given polynomial function f(x)=-(x+1)(x-1)2(x-3)2. The objective is graph the polynomial function.…

Q: A rectangular field is twice as long as its width. If 3 feet are taken from the width, and 4 feet…

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Q: Describe the end behavior of the graph of the polynomial function. f(x) = 5x° - 3x

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Q: If a house is purchased for $106,000 and is expected to appreciate $900 per year, its value y after…

A: The expected value of the house after 10 years is 115000.

Q: Find the fourth-degree polynomial function whose graph is shown in the figure. y = y 4 (-1, 2) 2 -2

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Q: Explain why it is not possible for the polynomial function y=-x^4+3x^3+x-3 to have end behavior that…

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Q: In the given equation as follows, determine whether the statement is true or false. If it is false,…

A: If a polynomial has three x-intercepts then there must be three intervals for which the function…

Q: How many turning points​ (from increasing to decreasing or from decreasing to​ increasing) occurred…

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Q: Sketch the graph of the function f(x) = −5x2 − x3 by (a) applying the Leading Coefficient Test, (b)…

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Q: snip

A: f(x)=x2(x-4)(x+1)

Q: If a house is purchased for $111,000 and is expected to appreciate $1100 per year, its value after x…

A: Given, the expression for the first house is, f(x)=1100x+111000 Then, the cost of the first house…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial…

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Q: The common cold is caused by a rhinovirus. After x days of invasion by the viral particles, the…

A: Given: f(x)=-0.75x4+3x3+5 The leading coefficient of the function f(x)=-0.75x4+3x3+5 is -0.75…

Q: Find the x-intercepts of the polynomial function. f(x) = x6 - 7x3 - 8 (x, f(x)) (smaller x-value)…

A: Given function is  f(x)=x6-7x3-8

Q: 4. Determine a possible equation for the polynomial function that corresponds to this graph.

A: Let's Solve,

Q: Create a polynomial function whose degree is 4, the leading coefficient is odd and the constant term…

A: Polynomial function: A  function which consist of positive power of the variable or non-negative…

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial…

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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: Find the degree of the polynomial function. f(x) = -4x + 7x5

A: Introduction: A polynomial's degree is the highest power of the variable in a polynomial expression.…

Q: Find the value of the polynomial  5x-4x2+3 at x = 2 and x = -1

A: Given, F(x)= 5x-4x2+3 At x=2 F(2)= 5*2-4*22+3 F(2)= -3

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: What is the end behaviour for the polynomial function f(x)=(4x+2)(x-3)(x+10)

A: Given: f(x)=(4x+2)(x-3)(x+10)

Q: 54. y 5+ -5 -4 -3 2 -1 2 3 4 5 -2- -3- -4+ -5+ 4. 2. 1.

A: We have to find the minimum degree polynomial function from the given graph.

Q: Find the x-intercepts of the polynomial function f(x) = x3+x2 -20x May I have a typed answer,…

A:

Q: How should the polynomial function fix) = x-x + 11lxt - 2x be written in standard form? A. fix) =…

A: We will solve the problem

Q: Describe the end behavior of the graph of the polynomial function. f(x)=4x6-3x4+x2-5

A: As per the definition, the end behavior of the graph is the value of f(x) attained by the function…

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = (x +2)…

A: Given : fx = x+2

Q: Based on the end behavior of the graph of polynomial functions, what best describes the leading…

A: Leading term is x3. Leading coefficient is -4

Q: A house is purchased for $109,000 and is expected to appreciate $600 per year. (a) Find a polynomial…

A: *let, number of years = x   *given:- purchasing value = $ 109000 appreciation value = $ 600 per year…

Q: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

A: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

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: Jae is constructing an open box from a plece of cardboard that is 9 in. wide and 12 in. long. He…

A: Given Data: The width of the cardboard is: w=9 in. The length of the cardboard is: l=12 in. The…