Linear Functions

Front

What is a function?

Back

A function is a rule where each input has exactly one output.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (input).

Front

What does the range of a function represent?

Back

The range of a function is the set of all possible output values (y-values).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What is the slope of a linear function?

Back

The slope is a measure of the steepness of the line, calculated as the change in y divided by the change in x.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the domain of a function?

Back

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

Front

How do you find the x-intercept of a linear function?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.