Question

Use the graph to determine the range.



Which notations accurately represent the range? Check all that apply.

(–∞, 2) U (2, ∞)
(–∞, –2) U (–2, ∞)
{y|y ∈ R, y ≠ –2}
{y|y ∈ R, y ≠ 2}
y < 2 or y > 2
y < –2 or y > –2

Answer 1

I don’t see the graph — could you upload it or describe it (especially whether there’s a hole or missing horizontal line at y = 2 or at y = −2)?

Meanwhile, here’s how to decide and which choices are equivalent:

- (–∞, 2) ∪ (2, ∞), {y | y ∈ R, y ≠ 2}, and y < 2 or y > 2 are the same set (all real y except 2). If the graph takes every y-value except y = 2, pick those three.

- (–∞, −2) ∪ (−2, ∞), {y | y ∈ R, y ≠ −2}, and y < −2 or y > −2 are the same set (all real y except −2). If the graph takes every y-value except y = −2, pick those three.

Send the graph or say which horizontal y-value is missing and I’ll mark the correct options.