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Polynomial Functions Quiz

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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?

$2x^4 + 3x^3 - x^2 - 5x + 1$ Signup and view all the answers

Which statement best describes the characteristics of a polynomial function?

It cannot have a variable raised to a fraction power. Signup and view all the answers

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

3 Signup and view all the answers

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

Absolute value function Signup and view all the answers

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

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

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

The higher the degree of a polynomial function, the more turning points it can have. 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?

The Fundamental Theorem of Algebra states that every polynomial equation has at least one real root. Signup and view all the answers