End Behavior

Front

What is end behavior in the context of functions?

Back

End behavior describes how the values of a function behave as the input (x) approaches positive or negative infinity.

Front

What does it mean when a function goes down on the left?

Back

It means that as x approaches negative infinity (x → -∞), the function's output (y) approaches negative infinity (y → -∞).

Front

What does it mean when a function goes up on the left?

Back

It means that as x approaches negative infinity (x → -∞), the function's output (y) approaches positive infinity (y → ∞).

Front

What does y → ∞ signify in a function's end behavior?

Back

It signifies that as x approaches positive or negative infinity, the output (y) of the function increases without bound.

Front

What does y → -∞ signify in a function's end behavior?

Back

It signifies that as x approaches positive or negative infinity, the output (y) of the function decreases without bound.

Front

If a function has end behavior of x → ∞, y → ∞, what does this indicate?

Back

It indicates that as x increases towards positive infinity, the function's output (y) also increases towards positive infinity.

Front

If a function has end behavior of x → -∞, y → ∞, what does this indicate?

Back

It indicates that as x decreases towards negative infinity, the function's output (y) increases towards positive infinity.

Front

What is the significance of the notation x → ∞, y → 2?

Back

It indicates that as x approaches positive infinity, the function's output (y) approaches a constant value of 2.

Front

What does the notation x → -∞, y → -∞ indicate about a function's end behavior?

Back

It indicates that as x approaches negative infinity, the function's output (y) decreases without bound.

Front

How can you describe the end behavior of a function with x → ∞, y → ∞ and x → -∞, y → ∞?

Back

This indicates that as x approaches positive infinity, y increases without bound, and as x approaches negative infinity, y also increases without bound.