Polynomial Functions Quiz
10 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What type of functions does the text illustrate?

  • Logarithmic functions
  • Exponential functions
  • Polynomial functions (correct)
  • Trigonometric functions

Which type of functions involve terms like $ax^2 + bx + c$?

  • Cubic functions
  • Rational functions
  • Quadratic functions (correct)
  • Linear functions

What is the degree of a constant function?

  • $\infty$
  • $-1$
  • $1$
  • $0$ (correct)

Which of the following represents a polynomial function with the highest degree?

<p>$2x^4 + 3x^3 - x^2 - 5x + 1$ (B)</p> Signup and view all the answers

Which statement best describes the characteristics of a polynomial function?

<p>It cannot have a variable raised to a fraction power. (D)</p> Signup and view all the answers

What is the degree of the polynomial function $f(x) = 2x^3 - 5x^2 + 4x - 1$?

<p>3 (A)</p> Signup and view all the answers

What type of function is $g(x) = |x^3 - 4x + 2|$?

<p>Absolute value function (A)</p> Signup and view all the answers

What is the end behavior of the polynomial function $f(x) = 2x^3 - 5x^2 + 4x - 1$?

<p>As $x$ approaches positive infinity, $f(x)$ decreases and as $x$ approaches negative infinity, $f(x)$ increases. (C)</p> Signup and view all the answers

What is the relationship between the degree of a polynomial function and the number of its turning points?

<p>The higher the degree of a polynomial function, the more turning points it can have. (D)</p> Signup and view all the answers

Which of the following statements about the Fundamental Theorem of Algebra is true in the context of polynomial functions?

<p>The Fundamental Theorem of Algebra states that every polynomial equation has at least one real root. (B)</p> Signup and view all the answers

Flashcards

Polynomial Function

A function that is built from terms comprising variables raised to non-negative integer powers, multiplied by constants.

Quadratic Function

A polynomial function of the second degree.

Degree of a Constant Function

Zero.

More Like This

Use Quizgecko on...
Browser
Browser