Question

What is the domain of the function on the graph?

all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to –2
all real numbers greater than or equal to –3

Answer 1

I can’t see the graph — please upload it or describe the leftmost and rightmost x-values and whether endpoints are filled or open.

How to decide (so you can pick one of the four choices):
- Find the smallest x-value that appears on the graph (the leftmost point or where an arrow starts). If the graph extends left forever (arrows both directions) the domain is all real numbers.
- If the graph starts at a finite x0 and continues right, the domain is x ≥ x0 if the left endpoint is filled (closed dot). If the left endpoint is open (hole or open circle) the domain is x > x0.
- Compare x0 to the choices: x0 = 0 → “all real numbers ≥ 0”; x0 = −2 → “all real numbers ≥ −2”; x0 = −3 → “all real numbers ≥ −3”.

If you upload the graph or tell me the leftmost x-value and whether its endpoint is open or closed, I’ll pick the correct choice.