Intermediate Algebra, Chapter 3, 3.5, Section 3.5, Problem 32

Determine the domain and range of the given graph below.



According to the vertical line test, if every vertical line intersects the graph of a
relation in no more than one point, then the relation is a function. So, the given graph fails
the vertical line test, since the same $x$-value corresponds to two different $y$-values, and is not the graph of a function.


Moreover, the arrow heads indicate that the line extends indefinitely to the right, as well as up and down.
So the range is $(-\infty, \infty)$. However, there is a least $x$-value of $3$, the domain includes all numbers greater than
or equal to $3$, written as $[3,\infty)$