Unit 5 Pre-Algebra Functions Review

A function is a relation that assigns exactly one output value for each input value. In other words, for every x-value, there is only one corresponding y-value.

The set (6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

The slope-intercept form is given by the equation $$y = mx + b$$ , where m is the slope and b is the y-intercept.

The equation is $$y = 3x + 6$$ .

The point (1, 4) represents that when the input (x) is 1, the output (y) is 4.

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

The y-intercept is (0, 3).

A set of ordered pairs is a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

The slope indicates the direction and rate of change of the line; a positive slope means the line rises, while a negative slope means it falls.