Linear or Not

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change, meaning it adds or subtracts the same value for each step in the input.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be non-linear?

Back

A non-linear function does not create a straight line when graphed. It may curve or change direction, indicating that the rate of change is not constant.

Tags

CCSS.8.F.A.3

Front

What is the constant rate of change in a linear function?

Back

The constant rate of change in a linear function is the amount added or subtracted for each unit increase in the input (x).

Tags

CCSS.HSF-LE.A.1B

Front

What is a relation in mathematics?

Back

A relation is any set of ordered pairs, which can include functions but is not limited to them.

Tags

CCSS.8.F.A.1

Front

How can you determine if a function is linear from a table of values?

Back

To determine if a function is linear from a table, check if the differences between the y-values are constant for equal changes in the x-values.

Tags

CCSS.HSF-LE.A.1B

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (y) decreases.