Polynomial Functions Quiz
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Polynomial Functions Quiz

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Questions and Answers

What type of functions does the text illustrate?

Polynomial functions

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

Quadratic functions

What is the degree of a constant function?

$0$

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

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

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

<p>Absolute value function</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.</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.</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.</p> Signup and view all the answers

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