1.3 Day 3: End Behavior Practice

Front

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

Back

As x approaches positive or negative infinity, the function approaches positive infinity.

Front

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

Back

As x approaches positive or negative infinity, the function approaches positive infinity.

Front

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

Back

As x approaches positive infinity, the function approaches negative infinity, and as x approaches negative infinity, the function approaches positive infinity.

Front

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

Back

As x approaches positive infinity, the function approaches positive infinity, and as x approaches negative infinity, the function approaches negative infinity.

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

Back

The graph of the polynomial will have the same end behavior on both sides (either both up or both down).

Front

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

Back

The graph of the polynomial will have opposite end behavior on both sides (one side up and the other side down).

Front

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

Back

By analyzing the leading coefficient and the degree of the polynomial.

Front

What is the significance of the leading coefficient's sign in determining end behavior?

Back

The sign of the leading coefficient determines whether the ends of the graph rise or fall as x approaches infinity.

Front

If a polynomial function has a leading coefficient of -3 and a degree of 4, what is its end behavior?

Back

As x approaches positive or negative infinity, the function approaches positive infinity.