Unit 5 Pre-Algebra Functions Review

A function is a relation where each input (x-value) has exactly one output (y-value).

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

A table is not a function if any x-value is paired with more than one y-value.

The x-intercept is the point where the graph crosses the x-axis, represented as (x, 0).

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

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

The equation of a vertical line is of the form x = a, where 'a' is the x-coordinate of any point on the line.

The equation of a horizontal line is of the form y = b, where 'b' is the y-coordinate of any point on the line.

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

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