Understanding Polynomials and Functions

The video tutorial covers various types of functions, focusing on polynomials, their classification, and properties. It explains the concept of monomials, the degree of polynomials, and the domain of polynomial functions. The tutorial also discusses specific types of polynomials, such as constant, linear, and quadratic functions, and their graphical representations. Additionally, it introduces rational and radical functions, highlighting their domain limitations and graphing characteristics.

What is one of the major classifications of functions discussed in the video?

• Trigonometric

• Polynomial

• Exponential

• Logarithmic

What is a monomial composed of?

• Base and exponent

• Variable and exponent

• Coefficient and exponent

• Coefficient and variable

For a term to be considered a monomial, what must the exponent be?

• A fraction

• A negative number

• An irrational number

• A whole number

What is a polynomial?

• A sum or difference of monomials

• A single monomial

• A division of monomials

• A product of monomials

What is the degree of a polynomial?

• The sum of exponents

• The number of terms

• The highest exponent

• The smallest exponent

What is the domain of all polynomials?

• 0 to infinity

• Negative infinity to 0

• Negative infinity to infinity

• 1 to infinity

What is a constant function?

• A polynomial of degree 2

• A polynomial of degree 3

• A polynomial of degree 0

• A polynomial of degree 1

What is the degree of a linear function?

• 3

• 1

• 0

• 2

What shape does a quadratic function graph typically have?

• Straight line

• Circle

• Parabola

• Hyperbola

What is the domain of a constant function?

• 0 to infinity

• Negative infinity to 0

• Negative infinity to infinity

• 1 to infinity