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.'

Tags

CCSS.L.11-12.2B

CCSS.L.6.6

CCSS.L.7.2B

CCSS.L.8.2C

CCSS.L.9-10.1.C

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.'

Tags

CCSS.L.11-12.4C

CCSS.L.6.4C

CCSS.L.7.4C

CCSS.L.8.4C

CCSS.L.9-10.4C

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.