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.

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.

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.

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.

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.

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.

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.

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.