Question

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

Answer 1

Answer:  Choice C.  $x \ge -3$

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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.