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

  1. 👍
  2. 👎
  3. 👁
  1. the leading term has the greatest exponent ... 5 in this case
    ... you should use the "caret" symbol (^) for exponentiation

    5 is odd, so the behavior at the positive and negative ends of the graph are opposite

    a large negative x value causes the function to have a large positive value
    ... this is due to the negative coefficient of the 1st term

    the opposite can be said of a large positive x value

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. 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

  3. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and

  4. 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

  1. 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.

  2. Algebra

    Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph. I really need help with this one but I can't post the

  3. Alg

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

  4. Algebra

    analyze the graph f(x)=(x-2)^3(x-3)^2(x-4) a)end behavior: find the power function that the graph of f resembles for large values of absolute value of x

  1. Pre Calc

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

  2. 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

  3. Algebra

    Please describe the end behavior of the graph of the function below. f(x) = –2x^5 – x^3 + x – 5?

  4. 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

You can view more similar questions or ask a new question.