End Behavior Practice

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is all real numbers, represented as \((-\infty, \infty)\).

Front

What is the range of a polynomial function?

Back

The range of a polynomial function can vary, but for even-degree polynomials with a positive leading coefficient, it is \([0, \infty)\) and for odd-degree polynomials, it is \((-\infty, \infty)\).

Front

What determines the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

Front

What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?

Back

As x approaches \(\infty\), f(x) approaches \(\infty\) and as x approaches \(-\infty\), f(x) also approaches \(\infty\).

Front

What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?

Back

As x approaches \(\infty\), f(x) approaches \(-\infty\) and as x approaches \(-\infty\), f(x) also approaches \(-\infty\).

Front

What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?

Back

As x approaches \(\infty\), f(x) approaches \(\infty\) and as x approaches \(-\infty\), f(x) approaches \(-\infty\).

Front

What is the end behavior of a polynomial function with an odd degree and a negative leading coefficient?

Back

As x approaches \(\infty\), f(x) approaches \(-\infty\) and as x approaches \(-\infty\), f(x) approaches \(\infty\).

Front

Define leading coefficient in a polynomial function.

Back

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

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

How do you find the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator equals zero.