Question

What is the domain of the function represented by the graph?

Answer 1

Answer: Choice C.
`x \ge -3`

============================================

Step-by-step explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is
`-3 \le x < \infty` which can be simplified to
`-3 \le x` or
`x \ge -3`

In short: x can be -3 or larger.