End Behavior

Front

What is end behavior in graphing functions?

Back

End behavior describes the behavior of the graph of a function as the input values (x) approach positive or negative infinity.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by its leading term, specifically its degree and leading coefficient.

Front

What does it mean if a polynomial has an odd degree?

Back

Front

What does it mean if a polynomial has an even degree?

Back

Front

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

Back

Front

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

Back

Front

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

Back

Front

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

Back

Front

What is the significance of the leading term in determining end behavior?

Back

The leading term dictates the direction of the graph as x approaches infinity or negative infinity, influencing the overall shape of the graph.

Front

How can you visually identify end behavior from a graph?

Back

You can identify end behavior by observing the direction in which the graph heads as it moves towards the left and right ends of the graph.