Function Tables

A function table is a chart that shows how each input (x-value) is related to an output (y-value) based on a specific function or rule.

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

To find the output, substitute the input value into the function rule and calculate the result.

The slope is 3, which indicates that for every increase of 1 in x, y increases by 3.

The y-intercept is -2, which is the value of y when x is 0.

An ordered pair (x, y) is a solution if substituting x into the equation yields the corresponding y value.

Substitute the x-coordinate of the point into the function and see if the resulting y-coordinate matches the point's y-coordinate.

The output is 20, calculated as $$f(5) = 4(5) = 20$$ .

A linear function is a function that graphs to a straight line, represented by the equation $$y = mx + b$$ .

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.