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What is the range of the function graphed below? PLEASE ANSWER ASAP

What is the range of the function graphed below? PLEASE ANSWER ASAP-example-1
What is the range of the function graphed below? PLEASE ANSWER ASAP-example-1
What is the range of the function graphed below? PLEASE ANSWER ASAP-example-2

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Answer: Choice C)
-\infty < y < 2

This is a more complicated way to write
y < 2

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be
(-\infty, 2) with the curved parenthesis to indicate "do not include y = 2 as part of the range".

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