Linear/NonLinear Functions

Front

What is the Domain of a function?

Back

The set of all possible input values (x-values) for a function.

Front

Is the function linear or nonlinear?

Back

Linear functions have a constant rate of change and can be represented by a straight line.

Tags

CCSS.8.F.A.3

Front

What does a linear graph look like?

Back

A straight line that can be described by the equation y = mx + b.

Front

What is the Slope of a line?

Back

The steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is a Nonlinear function?

Back

A function that does not have a constant rate of change and cannot be represented by a straight line.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for a function.

Front

What is a function?

Back

A relation that assigns exactly one output value for each input value.

Tags

CCSS.8.F.A.1

Front

What is the equation of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be increasing?

Back

The output values (y-values) increase as the input values (x-values) increase.