Polynomial Graph Characteristics

Front

What is the domain of a polynomial function?

Back

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

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

How do you determine the range of a polynomial function from its graph?

Back

The range can be determined by identifying the lowest and highest points on the graph, including any relative minima or maxima.

Front

What is a relative minimum in the context of polynomial graphs?

Back

A relative minimum is a point on the graph where the function value is lower than the values of the function at nearby points.

Front

What is a relative maximum in the context of polynomial graphs?

Back

A relative maximum is a point on the graph where the function value is higher than the values of the function at nearby points.

Front

What does it mean for a polynomial function to be continuous?

Back

A polynomial function is continuous if there are no breaks, holes, or jumps in its graph.

Front

What is the significance of the y-intercept in a polynomial graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x = 0.

Front

How can you identify the degree of a polynomial function from its graph?

Back

The degree of a polynomial function can be identified by the highest power of x in the polynomial expression, which also indicates the number of turning points in the graph.

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 is the difference between even and odd degree polynomial functions?

Back

Even degree polynomials have symmetric graphs about the y-axis, while odd degree polynomials have graphs that are symmetric about the origin.