Question

What is the range of this set of data?

Answer 1

Answer: B)
`0 \le y \le 100`

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Step-by-step explanation:

The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.

So we say that y is between 0 and 100, including both endpoints to lead to the inequality
`0 \le y \le 100`

The range in interval notation is [0, 100]. The square brackets say to include the endpoints.

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Side note: The domain appears to be
`2.5 \le x \le 9.5` since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.