Function Characteristics

Front

What is end behavior in 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 for a function to be positive?

Back

A function is positive when its output (y) is greater than zero for certain values of x.

Front

How can you determine where a function is increasing?

Back

A function is increasing when its output (y) values rise as the input (x) values increase.

Front

What is an x-intercept?

Back

An x-intercept is the point where the graph of a function crosses the x-axis, meaning the output (y) is zero.

Front

What is a y-intercept?

Back

A y-intercept is the point where the graph of a function crosses the y-axis, meaning the input (x) is zero.

Front

What does ARN stand for in the context of functions?

Back

ARN stands for 'Always Rising, Never' which indicates that a function consistently increases.

Front

How do you describe the end behavior of a function that approaches negative infinity as x approaches positive infinity?

Back

The end behavior can be described as: as x → ∞, y → -∞.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when its output (y) values fall as the input (x) values increase.

Front

What is the significance of the x-intercept and y-intercept in graphing functions?

Back

The x-intercept and y-intercept help identify where the function crosses the axes, providing key points for graphing.

Front

How can you identify the intervals where a function is positive?

Back

You can identify the intervals where a function is positive by finding where the output (y) is greater than zero.