End Behavior

Front

What does it mean when y → ∞?

Back

The function is increasing without bound as x approaches a certain value.

Tags

CCSS.HSF-IF.C.7E

Front

What does it mean when x → -∞?

Back

The function is being evaluated as x approaches negative infinity.

Tags

CCSS.HSF-IF.C.7E

Front

What is the end behavior of a function when x → ∞ and y → -∞?

Back

The function decreases without bound as x approaches positive infinity.

Front

What does it indicate when x → -∞ and y → -∞?

Back

The function decreases without bound as x approaches negative infinity.

Front

What is end behavior in the context of functions?

Back

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

Front

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

Back

By analyzing the leading term of the polynomial.

Front

What does it mean when a function approaches a horizontal asymptote?

Back

The function approaches a specific y-value as x approaches positive or negative infinity.

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

The sign of the leading coefficient indicates whether the function will rise or fall as x approaches infinity.

Front

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

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.

Front

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

Back

As x → ∞, y → -∞ and as x → -∞, y → ∞.