End Behavior

Front

What is end behavior in mathematics?

Back

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

Front

What does it mean if a function approaches -∞ as x approaches -∞?

Back

It means that the function decreases without bound as x moves towards negative infinity.

Front

What does it mean if a function approaches ∞ as x approaches -∞?

Back

It means that the function increases without bound as x moves towards negative infinity.

Front

What does it mean if a function approaches -∞ as x approaches ∞?

Back

It means that the function decreases without bound as x moves towards positive infinity.

Front

What does it mean if a function approaches ∞ as x approaches ∞?

Back

It means that the function increases without bound as x moves towards positive infinity.

Front

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

Back

The end behavior of a polynomial function can be determined by the leading term's degree and its coefficient.

Front

What is the end behavior of the function f(x) = x^3 as x approaches -∞?

Back

As x approaches -∞, f(x) approaches -∞.

Front

What is the end behavior of the function f(x) = -x^2 as x approaches ∞?

Back

As x approaches ∞, f(x) approaches -∞.

Front

What is the end behavior of the function f(x) = 2x^4 - 3x + 1 as x approaches ∞?

Back

As x approaches ∞, f(x) approaches ∞.

Front

What is the end behavior of the function f(x) = -3x^5 + 2 as x approaches -∞?

Back

As x approaches -∞, f(x) approaches ∞.