Naming Polynomials and Analyzing End Behavior

The video tutorial covers the naming of polynomials based on the number of terms and degree. It explains the concept of standard form and how to identify the leading term and coefficient. The tutorial provides examples to illustrate naming conventions and discusses the end behavior of polynomial functions using limit notation. The importance of understanding polynomial structure for solving equations is emphasized.

What is a polynomial with two terms called?

• Trinomial

• Binomial

• Monomial

• Quadrinomial

How do we name a polynomial with six terms?

• Polynomial with six terms

• Six-term polynomial

• Hexanomial

• Sextinomial

What is the degree of a polynomial?

• The sum of all exponents

• The smallest exponent

• The largest whole number exponent of the variable

• The number of terms

What do we call a polynomial with a degree of three?

• Cubic

• Quadratic

• Quartic

• Quintic

What is the term for a polynomial with a degree of five?

• Quintic

• Pentatic

• Quartic

• Sextic

What is the leading term of a polynomial?

• The term with the highest degree

• The term with the smallest degree

• The first term in any order

• The term with the largest coefficient

How do you name a polynomial with a degree of seven and three terms?

• Seventh degree polynomial

• Polynomial with three terms

• Seventh degree trinomial

• Trinomial with seven terms

What does the end behavior of a function describe?

• The behavior of the function at its minimum

• The behavior of the function as x approaches positive or negative infinity

• The behavior of the function at x = 0

• The behavior of the function at its maximum

What does it mean if a graph's end behavior approaches positive infinity?

• The graph is oscillating

• The graph is constant

• The graph is going up

• The graph is going down

In limit notation, what does it mean if the limit as x approaches negative infinity of f(x) is negative infinity?

• The graph goes down as x goes to the left

• The graph goes down as x goes to the right

• The graph goes up as x goes to the left

• The graph goes up as x goes to the right