intervals of increasing and decreasing

Front

What is an increasing interval?

Back

An increasing interval is a range on a graph where the function's values rise as the input values increase.

Front

What is a decreasing interval?

Back

A decreasing interval is a range on a graph where the function's values fall as the input values increase.

Front

What is a constant interval?

Back

A constant interval is a range on a graph where the function's values remain the same as the input values change.

Front

How can you identify an increasing interval on a graph?

Back

An increasing interval can be identified by observing that as you move from left to right, the graph rises.

Front

How can you identify a decreasing interval on a graph?

Back

A decreasing interval can be identified by observing that as you move from left to right, the graph falls.

Front

What does it mean if a function is always increasing?

Back

If a function is always increasing, it means that for any two points in its domain, the function's value at the second point is greater than or equal to its value at the first point.

Front

What does it mean if a function is always decreasing?

Back

If a function is always decreasing, it means that for any two points in its domain, the function's value at the second point is less than or equal to its value at the first point.

Front

What does it mean if a function is constant?

Back

If a function is constant, it means that its value does not change regardless of the input.

Front

What is the significance of identifying intervals of increasing and decreasing?

Back

Identifying intervals of increasing and decreasing helps in understanding the behavior of functions, which is crucial for graphing and solving equations.

Front

What is the relationship between the slope of a graph and increasing/decreasing intervals?

Back

A positive slope indicates an increasing interval, while a negative slope indicates a decreasing interval.