Increasing, Decreasing, Constant Intervals

Front

What is an increasing interval?

Back

An increasing interval is a range of x-values where the function's output (y-values) rises as x increases.

Front

What is a decreasing interval?

Back

A decreasing interval is a range of x-values where the function's output (y-values) falls as x increases.

Front

What is a constant interval?

Back

A constant interval is a range of x-values where the function's output (y-values) remains the same as x increases.

Front

How do you identify increasing intervals on a graph?

Back

Increasing intervals can be identified where the graph slopes upwards from left to right.

Front

How do you identify decreasing intervals on a graph?

Back

Decreasing intervals can be identified where the graph slopes downwards from left to right.

Front

How do you identify constant intervals on a graph?

Back

Constant intervals can be identified where the graph is horizontal, indicating no change in y-values.

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 output at the higher input is always greater than the output at the lower input.

Front

What does it mean if a function is never decreasing?

Back

If a function is never decreasing, it means that the function either increases or remains constant, but never falls.

Front

What is the significance of endpoints in interval notation?

Back

Endpoints indicate the boundaries of the interval; they can be included (closed interval) or excluded (open interval).

Front

What is the interval notation for a constant function between -3 and 4?

Back

The interval notation is (-3, 4).