Graphs of Polynomial Functions Quiz

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Questions and Answers

Which of the following is a characteristic of polynomial functions?

  • They can include radicals or roots
  • They can have a variable raised to a negative exponent
  • They can include trigonometric functions
  • They can have exponents that are non-integer values (correct)

What is the degree of the polynomial function 𝑓(𝑥) = 2𝑥^3 - 5𝑥^2 + 3𝑥 - 7?

  • 4
  • 1
  • 3 (correct)
  • 2

What is the end behavior of the polynomial function 𝑓(𝑥) = 𝑥^4 - 2𝑥^3 + 3𝑥 - 5?

  • As x approaches positive infinity, f(x) approaches negative infinity; as x approaches negative infinity, f(x) approaches positive infinity
  • As x approaches positive infinity, f(x) approaches positive infinity; as x approaches negative infinity, f(x) approaches negative infinity (correct)
  • As x approaches positive infinity, f(x) approaches a finite value; as x approaches negative infinity, f(x) approaches a finite value
  • The end behavior cannot be determined from the given function

What is the sum of the multiplicities of the zeros of the polynomial function 𝑓(𝑥) = (𝑥 + 2)^3 (𝑥 - 4)^2?

<p>7 (D)</p> Signup and view all the answers

Which statement about polynomial functions is true?

<p>The graph of a polynomial function may intersect the x-axis multiple times at the same point (D)</p> Signup and view all the answers

Flashcards

Polynomial Degree

The highest power of the variable in a polynomial function.

Polynomial End Behavior

The direction a polynomial's graph heads as x gets very big (positive or negative).

Polynomial Zeros' Multiplicity

The number of times a particular zero appears as a solution.

Polynomial Graph Intersection

A polynomial graph may cross the x-axis multiple times at the same point.

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Polynomial Exponents

Exponents in a polynomial function must be whole numbers (non-negative integers).

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Study Notes

Module Information

  • Developed by the Department of Education
  • Published in 2020
  • Specifies that no copyright shall subsist in any work of the Government of the Philippines (Republic Act 8293, section 176)
  • Prior approval from the government agency or office is necessary for exploiting the work for profit
  • The government agency or office may impose conditions, including payment of royalties
  • Borrowed materials are owned by their respective copyright holders
  • Efforts were made to locate and seek permission to use these materials from their respective copyright owners

Development Team

  • Module Writer: Grezel B. Limbog
  • Co-Writer: Vic Jomar M. Laderas
  • Reviewer: Bryan A. Hidalgo
  • Management Team:
    • May B. Eclar
    • Benedicta B. Gamatero
    • Carmel F. Meris
    • Ethielyn E. Taqued
    • Edgar H. Madlaing
    • Marciana M. Aydinan
    • Lydia I.

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