What is a Linear Function?

As you have learned previously, a linear function can be written as y=mx + b.
You may also write this equation using function notation in the form of f(x)=mx + b.
(Remember, in slope intercept form 'm' is the slope and 'b' is the y-intercept.)

The most basic linear function is called the parent linear function and is written as f(x)=x,
which is represented by the graph shown above. To view more parent graphs for the remaining basic functions,
take a look at this parent graph toolkit which will give you the name, shape, and equation
while also explaining the properties, domain, and range of each function.