Linear Functions - graphing

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 f(x) = 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 the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the function f(x) = mx + b.

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 does it mean if a line has a slope of 0?

Back

A line with a slope of 0 is horizontal, indicating that there is no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input, represented as f(x) = |x|.

Tags

CCSS.HSF-IF.C.7D

Front

How can you identify a linear function from a set of coordinates?

Back

A set of coordinates represents a linear function if the slope between any two points is constant.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the significance of the coordinates (5,2)?

Back

The coordinates (5,2) represent a point on the Cartesian plane where the x-value is 5 and the y-value is 2.

Tags

CCSS.5.G.A.1