Question

What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to –2 all real numbers greater than or equal to –3

Answer 1

Answer:  all real numbers greater than or equal to -3

Explanation:

The left-most point is at (-3,-2). The x coordinate is all we're concerned with here. The x coordinate for this point is x = -3. This is the smallest x value possible as an input. We cannot have x = -4 as that is nowhere on the blue curve.

So the domain is the set of real numbers x such that x is -4 or larger

In set builder notation, that would look like $\{x|x\in\mathbb{R}, \ x \ge -3\}$

In interval notation, we would say $[-3, \infty)$ to indicate to the reader "have an interval from -3 to positive infinity; include the endpoint -3"