Linear and Absolute Value Functions
Getting deeper into the function families, we'll start by looking at "Linear" and "Absolute Value" functions.
Equations of Linear Functions can be written in three different forms:
Standard form - this form is useful in finding the intercepts of a graph quickly.
Slope-intercept form - this form is useful in finding the slope and y-intercept of a graph.
Point-Slope form - this form can be helpful in seeing how a graph has been transformed from its parent function f(x) = x.
Absolute Value functions have the form: f(x) = a|x + h| + k
Solutions to a system of equations can be found in various ways:
By looking for an x-value that makes all the functions have the same y-value (either algebraically or on a table)
By looking for where the graphs of the functions intersect each other
