Chapter 2: Linear Relations and Functions

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 does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed, meaning it can have curves or bends.

Tags

CCSS.8.F.A.3

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). This can be checked using the vertical line test.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the slope of the line y = 3/2x + 6?

Back

The slope of the line y = 3/2x + 6 is 3/2.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line y = -2/3x + 2?

Back

The y-intercept of the line y = -2/3x + 2 is 2.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of 2 is -1/2.

Tags

CCSS.8.EE.B.6