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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

What is the domain of the function on the graph? all real numbers all real numbers-example-1
User Dfens
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2 Answers

4 votes

Answer: d

Step-by-step explanation:

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

Step-by-step 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"

User Ashack
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