Question

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

Answer 1

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".