Pre-calculus Quiz Graphing Polynomials

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Kat Ahrens
K
Kat Ahrens
Community Contributor
Quizzes Created: 1 | Total Attempts: 50
Questions: 4 | Attempts: 50

SettingsSettingsSettings
Pre-calculus Quiz Graphing Polynomials - Quiz


Questions and Answers
  • 1. 

    Please graph the following function and upload it. f(x) - H(x) = (x – 3)( x2 – 6x + 9)(x + 4)5

  • 2. 

    Describe the graph of the polynomial function P(x) = -2(x2 – 16)(x3- 4x)

  • 3. 

     F(x) = -4x7 – 5x5 + 3x2 – 14x -2 is a polynomial of degree ________ and it's end behavior goes from________  infinity to ________ infinity. 

    Explanation
    The given polynomial is of degree seven because the highest exponent of x in the polynomial is seven. The end behavior of the polynomial is odd because the leading coefficient is negative. As x approaches negative infinity, the polynomial goes to positive infinity, and as x approaches positive infinity, the polynomial goes to negative infinity. Therefore, the end behavior of the polynomial goes from positive infinity to negative infinity.

    Rate this question:

  • 4. 

    What are all of the true statements about the function  H(x) = (2x – 3)( x2 – 6x + 9)(x + 4)5

    • A.

      It crosses at the root x = 1.5.

    • B.

      It is an even function.

    • C.

      It's end behavior is from negative infinity to negative infinity. 

    • D.

      It crosses the x axis at x = 4

    • E.

      It bounces off of the x-axis at (3, 0) 

    Correct Answer(s)
    A. It crosses at the root x = 1.5.
    B. It is an even function.
    E. It bounces off of the x-axis at (3, 0) 
    Explanation
    The function H(x) = (2x – 3)(x2 – 6x + 9)(x + 4)5 crosses at the root x = 1.5 because when x = 1.5, the value of the function is not equal to zero. The function is an even function because it is symmetric with respect to the y-axis. It bounces off of the x-axis at (3, 0) because the function changes sign from negative to positive at that point.

    Rate this question:

  • 5. 

    The function has an ________ degree, with ________ root(s) that have odd multiplicity and ________ root(s) that have even multiplicity. 

    Correct Answer(s)
    even
    four, 4
    one, 1
    Explanation
    The function has an even degree, which means that the highest power of the variable in the function is an even number. The function has four roots, each with a multiplicity of 4, indicating that each root appears 4 times in the function. Additionally, the function has one root with a multiplicity of 1, meaning that this particular root appears only once in the function.

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 17, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 13, 2020
    Quiz Created by
    Kat Ahrens
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.