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".