End Behavior

Front

What is End Behavior in functions?

Back

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

Front

What does x→∞ indicate about a function's end behavior?

Back

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

Front

What does x→-∞ indicate about a function's end behavior?

Back

It indicates that as x approaches negative infinity, the function's output (y) approaches a certain value or infinity.

Front

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

Back

It means that as x increases without bound, the function's output (y) also increases without bound.

Front

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

Back

It means that as x decreases without bound, the function's output (y) increases without bound.

Front

What does it mean if a function's end behavior is x→∞, y→-∞?

Back

It means that as x increases without bound, the function's output (y) decreases without bound.

Front

What does it mean if a function's end behavior is x→-∞, y→-∞?

Back

It means that as x decreases without bound, the function's output (y) also decreases without bound.

Front

What is the significance of the left side of a graph in end behavior?

Back

The left side of a graph refers to the behavior of the function as x approaches negative infinity.

Front

What is the significance of the right side of a graph in end behavior?

Back

The right side of a graph refers to the behavior of the function as x approaches positive infinity.

Front

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

Back

You can determine the end behavior by looking at the leading term of the polynomial and its degree.