Question

Which statements describe the end behavior of the graph of the function shown? Check all that apply.

As x → ∞, y → 1.
As x → ∞, y → ∞.
As x → ∞, y → –∞.
As x → –∞, y → 1.
As x → –∞, y → ∞.
As x → –∞, y → –∞.

Answer 1

I don't see the graph — could you upload the image or describe what the curve does at the far left and far right (for example: “right end levels off to y=1”, “left end goes down without bound”, “both ends go to 1”, etc.)?

How to decide (so you can answer quickly once you tell me what you see):
- Look at the far right (x → ∞): does the curve approach a horizontal line y = 1, rise toward +∞, or fall toward −∞? Pick exactly one of the three right-end statements.
- Look at the far left (x → −∞): does the curve approach y = 1, rise to +∞, or fall to −∞? Pick exactly one of the three left-end statements.

If you send the picture or describe each end, I’ll mark which statements apply.