Linear/NonLinear Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form 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 is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its graph can be curved or have varying slopes.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear graph?

Back

A linear graph has a constant slope and forms a straight line. It passes the vertical line test, meaning any vertical line intersects the graph at most once.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean for a function to be increasing?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) values increase, the output (y) values decrease.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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 a table of values in relation to functions?

Back

A table of values lists pairs of input (x) and output (y) values, showing how the function behaves for specific inputs.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1