Domain and Range of polynomials

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is all real numbers.

Front

How is the domain of a polynomial expressed in interval notation?

Back

The domain of a polynomial is expressed as (-∞, ∞).

Front

What is the range of a polynomial function?

Back

The range of a polynomial function depends on its degree and leading coefficient.

Front

What is the definition of the domain in relation to a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the definition of the range in relation to a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What is the range of a polynomial function with a minimum value?

Back

The range is [minimum value, ∞) if the polynomial opens upwards.

Front

What is the range of a polynomial function with a maximum value?

Back

The range is (-∞, maximum value] if the polynomial opens downwards.

Front

How do you determine the range of a polynomial function?

Back

The range can be determined by analyzing the graph of the polynomial and identifying the y-values.

Front

What is the significance of the leading coefficient in determining the range of a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial, affecting the range.

Front

What is the effect of the degree of a polynomial on its range?

Back

The degree of a polynomial affects the number of turning points and the overall shape of the graph.