Graphs and Polynomials Overview

Front

What is a constant polynomial?

Back

A polynomial of degree 0, which has the form f(x) = c, where c is a constant.

Front

What is a linear monomial?

Back

A polynomial with one term of degree 1, expressed as f(x) = ax, where a is a non-zero constant.

Front

What is a constant monomial?

Back

A polynomial with one term that is a constant, expressed as f(x) = c, where c is a constant.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

How do you determine the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree.

Front

What does it mean for a function to be decreasing on an interval?

Back

The function's output values decrease as the input values increase within that interval.

Front

What is interval notation?

Back

A way of writing subsets of the real number line using intervals, such as (a, b) or [a, b].

Front

How many terms are in the polynomial 2x^3 - 8x^2 + 3x - 7?

Back

There are 4 terms in the polynomial.

Front

What is the leading term of the polynomial f(x) = 5x² + 3x³ - 2x + 1?

Back

The leading term is 3x³.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include endpoints (e.g., (a, b)), while closed intervals do (e.g., [a, b]).