What is the range of the function graphed below?

Question

asked Aug 25, 2021 89.9k views

2 Answers

Jared Price · Answer 1 · 2021-08-28T01:45:21+0000

Range =
$-3 < y \le 3$

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Step-by-step explanation:

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

The lowest point happens when y = -3. We exclude this y value because of the open hole.

The highest point is at y = 3 which is included because of the filled in circle.

The range can be written as
$-3 < y \le 3$ meaning y is between -3 and 3, excluding -3 but including 3.

Side note: The range in interval notation is (-3, 3].