Constant, increasing, decreasing

Front

What is the meaning of 'decrease'?

Back

To decrease means to become smaller or less in amount, size, or degree. Synonyms include 'descending' or 'going down.'

Front

What is the meaning of 'increase'?

Back

To increase means to become larger or greater in amount, size, or degree. Synonyms include 'ascending' or 'going up.'

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when its output values decrease as the input values increase. This is often represented by a downward slope on a graph.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when its output values increase as the input values increase. This is often represented by an upward slope on a graph.

Front

What does it mean for a function to be constant?

Back

A function is constant when its output values remain the same regardless of the input values. This is represented by a horizontal line on a graph.

Front

What is an example of a decreasing function?

Back

An example of a decreasing function is f(x) = -2x + 3, where the slope is negative.

Front

What is an example of an increasing function?

Back

An example of an increasing function is f(x) = 2x + 1, where the slope is positive.

Front

What is an example of a constant function?

Back

An example of a constant function is f(x) = 5, where the output is always 5 regardless of the input.

Front

How can you identify a decreasing interval on a graph?

Back

A decreasing interval on a graph can be identified where the graph slopes downward as you move from left to right.

Front

How can you identify an increasing interval on a graph?

Back

An increasing interval on a graph can be identified where the graph slopes upward as you move from left to right.