Domain, Range, Intercepts & Vocabulary of Polynomials

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial.

Front

What is the range of a polynomial function?

Back

The range of a polynomial function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is the set of all possible input values (x-values) that can be used in the function.

Front

What are x-intercepts of a polynomial?

Back

X-intercepts are the points where the polynomial function crosses the x-axis, meaning the output value (y) is zero.

Front

What are y-intercepts of a polynomial?

Back

Y-intercepts are the points where the polynomial function crosses the y-axis, meaning the input value (x) is zero.

Front

How does the sign of the leading coefficient affect the end behavior of a polynomial?

Back

If the leading coefficient is positive, the polynomial will rise to the right; if negative, it will fall to the right.

Front

What is the end behavior of a polynomial function?

Back

The end behavior describes how the values of the function behave as x approaches positive or negative infinity.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of degree.