End Behavior

Front

What is end behavior in polynomial functions?

Back

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

Front

What determines the end behavior of a polynomial function?

Back

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

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

How does the degree of a polynomial affect its end behavior?

Back

If the degree is odd, the ends of the graph will go in opposite directions. If the degree is even, both ends will go in the same direction.

Front

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

Back

Both ends of the graph will rise to positive infinity (Up/Up).

Front

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

Back

Both ends of the graph will fall to negative infinity (Down/Down).

Front

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

Back

The left end of the graph will fall to negative infinity and the right end will rise to positive infinity (Down/Up).

Front

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

Back

The left end of the graph will rise to positive infinity and the right end will fall to negative infinity (Up/Down).

Front

Back

Down/Up.

Front

Back

Down/Down.