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1. Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 2. Evaluate : sqrt7x(sqrtx-7sqrt7) show your work.

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  1. Algebra

    HELP ALGEBRA HOMEWORK 1. Classify -6x^5+4x^3+3x^2+11 by its degree. A) quinic B) cubic C) quartic D) quadratic 2. Write -2x^2(-5x2+4x^3) in standard form. A) -8x^5-20x^4 B) -8x^5+10x^4 C) -7x+2x^4 D) -7x^5-10x^4 3. Consider the leading term of the

  2. Algebra

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 how would I solve this?

  3. Algebra

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 how would I solve this?

  5. algebra

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3

  6. Help !

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3

  7. Algebra 2

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3

  8. Math

    1. Identify the degree, leading term and leading coefficient of each polynomial function. A. f(x)= x(x+1)(3x+1)(x-2) B. f(x)= -16+3x^4 - 9x^2 - x^6 + 4x^8 2. Describe the end behavior of a ninth-degree polynomial function with a negative leading

  10. I need help with these please ALGEBRA

    1. Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 2. Evaluate : sqrt7x(sqrtx-7sqrt7) show your work. 3. Solve the equation. Check for

  11. Math

    Determine whether the following statement makes sense or does not make sense, and explain your reasoning: When I'm trying to determine end behavior, it's the coefficient of the leading term of a polynomial function that I should inspect. A) This makes

  12. Pre Calc

    Use the Leading Coefficient Test to determine the end behavior of the polynomial function. f(x)=-3x^3-3x^2-2x+1 ?????????????

  13. math

    Is the function a polynomial function? Why or why not? If it is a polynomial function identify and label the leading term and constant term. Here are the functions f(x)=(2-x^4)/13 f(x)=x^3+9x-(1/x) it would be great if you could do everything step by step

  15. Leading coefficient test

    Please check my work. thanxs! Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. f(x) = 2x^2 - 2x - 2 -I got that is rises to the left and rises to the

  16. Algebra

    Please check my work. thanxs! Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. f(x) = 2x^2 - 2x - 2 -I got that is rises to the left and rises to the

  17. math

    Determine the end behavior of the function as x → +∞ and as x → −∞. f(x) = 1000 − 39x + 51x^2 − 10x^3 As x → +∞, f(x) → ???? . As x → −∞, f(x) → ??? I know that the end behavior of the function is determined by the leading

  18. math

    A polynomial function is given. Q(x) = −x^2(x^2 − 4) (a) Describe the end behavior of the polynomial function. End behavior: y → as x → ∞ y → as x → −∞

  20. mathematics

    Without graphing the function f(x)=(2x+1)(x-4)^2 determine: a) the degree of the function b) the type of polynomial function c) the leading coefficient d) the zeroes e) the y-intercept f) the end behaviors

  21. College Algebra

    Choose the end behavior of the polynomial function. f(x)= -5x^5-9x^2+6x+1. I got left end up right end down. Is this right? Thanks

  22. Math

    You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area _____________________________________ Among all pairs of

  23. math

    can you check my answers please. Use the Leading Coefficient Test to determine the end behavior of the polynomial function. f(x) = 4x^4 + 5x^3 + 2x^2 + 4x - 3 i got that it rises to the left and rises to the right f(x) = -5x^4 - 2x^3 - 4x^2 - 4x + 2 i got

  25. math

    can you check my answers please. Use the Leading Coefficient Test to determine the end behavior of the polynomial function. f(x) = 4x^4 + 5x^3 + 2x^2 + 4x - 3 i got that it rises to the left and rises to the right f(x) = -5x^4 - 2x^3 - 4x^2 - 4x + 2 i got

  26. algebra 2

    decribe the end behavior of the graph of the polynomial function.then evaluate the function for x=-4,-3,-2...,4. equation is y=x^4-2x^2-x-1

  27. pre-calc

    1. which of the following is a fourth degree polynomial function? select all that apply. a. f(x)= 4x^3 - x^2 + 2x - 7 b. f(x)= 5-x^4 c. f(x)= 1 / 2x^4 + x^2 -5 d. f(x)= 3x^4 + 2x^3 -4x +1 2. which function below has the end behavior f(x) approaches neg.

  28. Pre-Cal (polynomials)

    How does the degree of a polynomial function affect the end behavior?

  30. Urgent math

    R(x) = −x5 + 4x3 − 3x (a) Describe the end behavior of the polynomial function. End behavior: y → rises to the right Incorrect: Your answer is incorrect. as x → ∞ y → falls to the left Incorrect: Your answer is incorrect. as x → −∞ can

  31. calculus

    1.is the function f(X)=4-7x^5 a polynomial function? if so state its degree and leading coefficient. 6.use the remainder theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5-7x^3-11x^2+2

  32. math 8

    how do the degree and the sign of the leading coefficient correspond to the end behaviour of the polynomial function. please help I don't know where to start..

  33. Pre-calculus

    Find the correct end behavior for a given polynomial function. 3.36x^4+8x^2+x-9

  35. STC

    Find the correct end behavior diagram for the given polynomial function P(x)=2.75x^4+3x^2+x-1

  36. MATH TRIGONOMETRY

    refer to the polynomial function f(x)= -x(x-1)(x+2) in anwering the folloowing questions. 1.what is the y intercept? 2.what is the behavior of the left end of its graph? 3.will the graph pass through the origin? 4,what is the behavior of the left end of

  37. Algebra 2

    Describe the end behavior of the graph of the polynomial function. Then evaluate the function for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. Then graph the function. Number one: y=x^4-2x^2-x-1

  38. Algebra II

    Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)→? as x→-∞ and f(x)→? as x→+∞. 1. f(x)=-(x^2)+1 2. f(x)==10x^3

  40. Alg

    describe the end behavior of the graph of the polynomial function. Then evaluate the ntion for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. I'm confused on this. Help.

  41. Math - Fundamental Theorem

    We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the

  42. College Algebra

    #2 Choose the end behavior of the graph of the polynomial function. f(x) 3x^3+3x^2-6x-5. I got Falls to the left and rises to the right. Is this correct? Thanks

  43. Algebra 2

    Describe the end behavior of the graph of the polynomial function. Then evaluate the function for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. Then graph the function.y=x^4-2x^2-x-1 and y=(x-3)(x+1)(x+2)

  45. College Algebra

    #3 Choose the end behavior of the graph of the polynomial function. f(x) -x(x-3)(5x+2), I think I have to foil to get -5x^3-2x^2+15x+6 So I think this one rises to the left and falls to the right. Please let me know if I did these correctly. Thanks

  46. Algebra

    f(x) = -8x4 – 3x + 2 1. Given the function above, what is the right end behavior? 2. Given the function above, what is the left end behavior? 3. Given the function above, what is the maximum number of turns?

  47. Algebra

    f(x) = -8x4 – 3x + 2 1. Given the function above, what is the right end behavior? 2. Given the function above, what is the left end behavior? 3. Given the function above, what is the maximum number of turns?

  48. math

    Which polynomial(s) could have the following end behavior: as x→∞, f(x)→∞, and as x→−∞, f(x)→∞? There may be more than one correct answer. Select all correct answers. ax −ax^5+bx^2+cx ax^6 ax^2−b ax^4−bx^3−cx^2−dx+e ax^3+bx^2+c

  50. Math

    A herd of 100 deer is introduced onto a small island. At first the herd increases rapidly, but eventually food resources dwindle and the population declines. Suppose the number of deer, N(t), after t years is described by the polynomial function: N(t)+

  51. Math:Polynomial Functions

    h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D

  52. Algebra

    Complex Algebra! Please Help! I have been struggling really bad. 1. x4 – 3x2 + 2y – 1 is a polynomial of degree A) 3 B) 2 C) 4 D) 5 2. For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift A) right 3 and upward 2. B)

  53. Algebra

    1. Find the GCF of the polynomial. 8x^6+32x^3 2. Polynomial identities tell us that the square of the sum of a and b, (a+b)^2, can be rewritten as ______. 3. The sum of cubes identity is very powerful, although a little hard to remember. It tells us that

  55. algebra 2

    Write a polynomial function that has the zeros 2, -2, and -1 and has a leading coefficient of 1. Then graph the function to show that 2, -2, and -1 are solutions.

  56. algebra

    A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y-axis at 2. If f(1)=1, and f(-2)=-2, find f(-1) and write the complete function.

  57. Math

    Can someone help me with these T.T 1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞? a) f(x) = -6x^4 - x^5 + 5x^3 - x^2 - 4x + 9 b)f(x)= 6x^4 + x^5 - 5x^3 + x^2 + 4x - 9 c)f(x) = 3x^2 + x - 11

  58. Precalculus

    I'm sorry I'm posting so many questions, I promise this is the last one tonight :) The leading coefficient of a cubic polynomial P is 2, and the coefficient of the linear term is -5. If P(0)=7 and P(2)=21, find P(3). I DO NOT understand how to even start

  60. Calculus

    Suppose that ax^2 + bx + c is a quadratic polynomial and that the integration: Int 1/(ax^2 + bx + c) dx produces a function with neither a logarithmic or inverse tangent term. What does this tell you about the roots of the polynomial?

  61. Algebra Help me Please

    Someone please help me with this!!! Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle

  62. Calculus

    The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-1 y=2 y=0 There is no leading coefficient so I am not sure what the answer is.

  63. Math

    Write a polynomial function in standard form that has the given zeros and has a leading coefficient of 1 for: -2, 4+i

  65. algebra

    Identify the degree of each term of each polynomial. Then find the degree of the polynomial. xy^3 + 7x^3y^2 - 6xy^4 + 2 I am really having trouble with how this process works. I know the degree of the polynomial is 5 but I don't know how to identify the

  66. computer programming

    write a program to print fibonaaci series like 2,1,3,4,7,11,18 up to 10th term using function...end function I did it using SUB..end sub in this way : declare sub series cls call series end sub series a=2 b=1 for p =1 to 5 print a; b a=a + b b=b + a next p

  67. Math

    Which of the following statements about a polynomial function is false? 1) A polynomial function of degree n has at most n turning points. 2) A polynomial function of degree n may have up to n distinct zeros. 3) A polynomial function of odd degree may have

  68. m240

    Determine the degree and the leading coefficient of the polynomial function f(x) = -2x3 (x - 1)(x + 5). A. 5; -2 B. 7; -4 C. 2; -5 D. 1; -9 My answer is A is this correct.

  70. poloynomial function

    Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1) -2, -1, 1 2) i, 4 3) i, 2 - √3 4) 1, 4, 1 + √2

  71. math

    third degree with zeros of 2-i,2+i and 2 and a leading coefficient of 4. Construct a polynomial function with stated properties

  72. math/calculus

    Find a power function end behavior model for f(x)= (3x^3-4x^2+3x+3)/(x-3) I don't understand what an end behavior model is

  73. Calculus

    Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3 +6x-1)/(x+2)

  75. extrema

    The function is given as y = 7x^3 - 8x^2 -16x +15 The max is at x = -4/7 & min is at x = 4/3 How do I know that it is local max&min or absolute max &min? (graphing calculator is not allowed) You know that it's a local minimum and maximum because the x^3

  76. Algebra 2

    Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros 2, 2i, and 4-sqrt 6

  77. Math

    So how do you write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros with is problem: 5 and 4 + √2

  78. algebra 2

    write a polynomial function of least degree that has real coefficeints the given zeros and a leading coefficient of 1. the problem is 5,2i,-2i

  80. algebra

    Sketch the graph of a 3rd degree polynomial function with a positive leading coefficient and 3 real zeros at x = - 2 , x = 1 , x = 3

  81. math

    Given that the range of a polynomial function is {y | y

  82. Algebra

    Divide 1-125b^3 by 5b - 1 You need to learn the technique of polynomial long division. It's just the same as if numbers were involved. See http://www.sosmath.com/algebra/factor/fac01/fac01.html for sevaral examples. Hint: It will be a three-term

  83. Math

    For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function - f(x) = -1/2 [x-1] These functions always mess me up! Could someone tell me the following properties of

  85. mathematics

    Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros. 2plus2i​, minus1​, and 2

  86. math

    Please help me! f(x)=(x+1)^3-2 1. How do I find the x and y intercepts, if any? 2. Describe the long term behavior of this function. Give the power function that F resembles.

  87. Algebra

    I already posted this question and Reiny answered it, I just wanted to clarify my answer Problem: If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x)-g(x)? Reiny: so f(x) has to contain an

  88. Math

    The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is continuous. B. A polynomial because it is of the form axn. C. Not a polynomial because you are subtracting 2x. D. Not a polynomial because you can’t have any fractional exponents. Is

  90. find polynomial

    zeros are i and (1+i) degree of the polynomial 4 constant term 12 How do i do it? (x+i)(x-i)(x-1-i)(x-1+i)=0 ? Where does the 12 go? Thanks Where does the 12 go? Substitute x = 0 and find out what the constant term is now. Then multiply the polynomial you

  91. math

    f(x)=(x+1)^3-2 1. Describe the long term behavior of this function. Give the power function that f resembles. 2. Determine the number of turning points f has.

  92. calculus (PLEASE HELP!)

    f(x)=((x+1)^3)-2 1. Describe the long term behavior of this function. Give the power function that f resembles. 2. Determine the number of turning points f has.

  93. Pre Calculus

    1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^4-11x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero

  95. Algebra- is my answer right

    Choose the end behavior of the graph of each polynomial function. A f(x)= -5x^3-4x^2+8x+5 B f(x)= -4x^6+6x^4-6x^3-2x^2 C f(x)= 2x(x-1)^2(x+3) A= falls to the left and rises to the right B= Falls to the left and right C=Rises to the right and left.

  96. caculus

    Following a polynomial, find a. the zero's and the multiplicity of each b. where the graph crosses or touches the x-axis c. the number of turning points d. the end behavior f(x)=(x+3)(x-5)(x+5)

  97. caculus

    Following a polynomial, find a. the zero's and the multiplicity of each b. where the graph crosses or touches the x-axis c. the number of turning points d. the end behavior f(x)=(x+3)(x-5)(x+5)

  98. Math

    Does anyone know an easy way to remember the leading coefficient test for end behavior? I cannot seem to remember how to determine the direction the graph should go on these problems.

  100. Algebra II

    write a fourth degree polynomial function a leading coefficient o 1 given three of its zeros are -1, 3 and 2i, then re-write it in simplified form.

  101. pre-ap Algebra 2

    write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: -2,2,-1,3, sqrt 11

  102. algebra!!!! please help me!!!!

    A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is also algebraic because it is a

  103. Calculus

    What simpler function models the end behavior of the rational function in #4? #4: lim x->7 (sqrt(x+2)-3)/(x-7)

  105. Pre-Cal (polynomials)

    Look at the right end behavior of each function )\(as x -> infinitey). what about the function determines whether its graph wil point up or down on the right-hand side?

  106. Math - Int Trig

    31) Locate, name, and classify the extrema of the function. Determine intervals which the function is increasing and decreasing f(x) = -x(x^2 - 2) 32) Determine the end behavior of the function f(x) = 2x - x^3

  107. Calculus

    Find the 3rd order for the taylor polynomial in powers of x for the function f(x)=sinh2x and find the remainder as a function of x and c. P3(x)=? R3(x)=? What's the kth term expression?

  108. math

    Plz Help 1. what is the end behavior of the exponetial function f(x)=3/2*(4/5)^x? 2. use a graph to determine if the exponential function g(x)=-6*5^x is positive or negative and increasing or decreasing

  110. pre calculus

    Given the following polynomial; f(x)=(x-2)^3 Find: a. the zeros and the multiplicity of each b. where the graph crosses or touches the x-axis c. number of turning points d. end behavior I have no clue what I am doing. pleeeaaase help!!!

  111. calculus-can someone please help me with this ques

    Given the following polynomial, find a. the zerros and the multiplicity of each b. where the graph crosses or touches the x-axis c. number of turning points d. end behavior f(x)=(x-1)(x-5) **please show work**

  112. calculus-can someone please help me with this ques

    Given the following polynomial f(x)=(x-1)(x-5), find A.the zeros and the multiplicity of each one b. where the graph crosses or touches the x-axis c.the number of turning points d. the end behavior Please show work.

  113. Math

    What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an example of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial

  115. calculus-can someone please help me with this ques

    Given the following polynomial find, a. zeros and the multiplicity of each b. number of turning points c. end behavior f(x)=(x-1)(x-5) a. the multiplicity of (x-1)(x-5) x=1 and x=5----is this correct b. number of turning points I had f(x)-0 at turning

  116. precalculus

    The function has a vertical asymptote of x=2 The function has a removable discontinuity of x=-2 The function has a horizontal asymptote of y= 0 No x intercept Y-intercept is (0,-0.5) End Behavior f(x) --> 0, x? -oo f(x) ? 0, x ? oo What is the rational

  117. Pre-Calc

    A polynomial function f with real coefficients has zeros of 2, -4, and 1. The polynomial also contains the point f(-1) = 6. Write the function in both factored form and polynomial form.

  118. Algebra

    Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros

  120. Calculus

    Which of the following choices will most easily evaluate integral of [L(x)]/P(x) dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function b) Integrate the logarithmic

  121. Calculus

    Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function. b) Integrate the

  122. algebra

    HELP!!!!!!!!!!!!! write equation of a polynomial function with the given characteristics. Leading coefficient is 1 or -1 crosses the x axis at -2,3, and 4 touches the x axis at 0 lies above the x axis between -2 and 0

  123. algebra 2

    explain how to determine the end behavior of a polynomial.explain throughly with example(s)

  125. Algebra

    I am stuck on this problem Identify the degree of each term of the polynomial and the degree of the polynomial in -8x^3 + 6x^2 +5x +5 The degree of term 1 = The degree of term 2 = The degree of term 3 = The degree of term 4 = does the degree of the

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