Question

What does this mean exactly?​

Answer 1

Answer: Choice B
`y \le 0`

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Step-by-step explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write
`-\infty < y \le 0`

Converting that to interval notation leads to
`(-\infty, 0]`. Note the square bracket to include the endpoint.

The compound inequality
`-\infty < y \le 0` simplifies to
`y \le 0`

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.