Question

Determine the range of the following graph:

U
10
9
7
6
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
1
-3

Answer 1

Answer as an inequality:
`\boldsymbol{2 \le y \le 7}`

Answer in interval notation: [2, 7]

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Step-by-step explanation:

The range is the set of all possible y outputs of a function.

The lowest point occurs when y = 2

The highest point occurs when y = 7

The range is the set of every y value between 2 and 7, including the endpoints.

The range as an inequality is
`2 \le y \le 7`

It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.