How to Find Domain and Range of a Graph BONUS Vertical Line Test

How to find the domain and range of a given graph (a parabola). Also, use the vertical line test to determine if it actually is a function or not.

How to find the domain of a function with examples including a polynomial, rational and radical functions. We end with a radical function that has a quadratic inside, which will require us to solve a quadratic inequality.

Quick Domain Example Timestamps:
0:10 Find the domain of a polynomial and the domain of a rational function.
2:10 Find the domain of rational functions.
5:10 Find the domain of radical functions, a square root and cube root function.
8:00 Find the domain of an algebraic fraction with a radical.
10:43 Find the domain of a radical with a quadratic radicand.

IA Chapter - Graphing Basic Functions
1 Relations, Graphs, and Functions
2 Graphing the Basic Functions
3 Using Transformations to Graph Functions