Ask questions and get helpful answers.

Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x?

a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity
b. f(x) approaches negative infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
c. f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
d. f(x) approaches negative infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity

I do not understand end behavior and my lesson does not explain it very well. I also have no textbook for this class. Help is greatly appreciated. Thanks!

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
6 answers
  1. Pleaseee

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. end behavior is when x becomes very large (approaching infinity) in the positive and negative directions

    the behavior is driven by the term with the largest exponent ... in this case, the x cubed term

    the odd power means that x^3 has the same sign as x

    the negative coefficient (-2) changes the sign, so that at the ends, f(x) has the opposite sign of x

    read the answers carefully, and one will fit the bill

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. Is it d?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. I am pretty sure it's right can you please check?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  5. in d, are the signs for x and f(x) the same or different

    did you read my first response/explanation?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  6. C) f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. math

    The graph of y = x cubed is transformed as shown in the graph below. Which equation represents the transformed function? On a coordinate plane, a cubic root function approaches y = negative 1 in quadrant 2, has an inflection point at (0, 0), and then

  2. 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

  3. math

    1. Consider the function f(x) = x3 + 7x2 + 2x - 40 . a. Find the possible rational roots of f(x) = 0. b. Use synthetic division to divide f(x) by x - 2. Show all your work. Use your answer to explain whether or not x – 2 is a factor of f(x). c. Factor

  4. Pre-Calc/Trig

    Describe the end behavior for function by writing a limit expression. f(x)=2x^5-x+7

  5. 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.

  6. Calculus

    The graph of a function f is shown. Let g be the function that represents the area under the graph of f between 0 and x. (a) Use geometry to find a formula for g(x). (b) Verify that g is an antiderivative of f and explain how this confirms Part 1 of the

  7. PSYCHOLOGY IN SOCIAL LIFE

    Which one of the following statements best describes group behavior? A. Group behavior depends solely on its most influential individual members. B. As a group behaves, so too will each individual in the group. C. Group behavior is a thing apart from the

  8. Calculus

    The equation dy/dx = -6x^2/y gives the slope at any point on the graph of f(x). The range of f(x) is [0, infinity] and f(1) = 2. A. Find the equation of the tangent line to f(x) at the point (1,2). B. Write the function f(x). C. Determine the domain of the

  9. Calculus

    Consider the function below. f(x) = [1-(4/x)]^x (a) Use a graph to estimate the value of the limit of f(x) as x approaches infinity. (Round the answer to two decimal places.) (b) Use a table of values of f(x) to estimate the limit. (Round the answer to

  10. Calculus

    Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x

Still need help?

You can ask a new question or browse existing questions.