End Behavior/Positive & Negative/Increasing & Decreasing

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. It helps in understanding how the graph of the function behaves at the extremes.

Front

What does it mean if a function is increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function value at the second point is greater than the function value at the first point.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing on an interval if, for any two points in that interval, the function value at the second point is less than the function value at the first point.

Front

How do you denote increasing intervals in interval notation?

Back

Increasing intervals are denoted in interval notation by specifying the range of x-values where the function increases, e.g., (a, b) where a < b.

Front

How do you denote decreasing intervals in interval notation?

Back

Decreasing intervals are denoted in interval notation by specifying the range of x-values where the function decreases, e.g., (c, d) where c < d.

Front

What is the end behavior of a function if as x→∞, y→∞?

Back

This indicates that the function rises indefinitely as x approaches positive infinity.

Front

What is the end behavior of a function if as x→-∞, y→-∞?

Back

This indicates that the function falls indefinitely as x approaches negative infinity.

Front

What is the end behavior of a function if as x→∞, y→-∞?

Back

This indicates that the function falls indefinitely as x approaches positive infinity.

Front

What is the end behavior of a function if as x→-∞, y→∞?

Back

This indicates that the function rises indefinitely as x approaches negative infinity.

Front

What does the notation (−∞, 0) represent?

Back

This notation represents an interval that includes all real numbers less than 0, extending to negative infinity.