Question

What is the range 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 1
all real numbers greater than or equal to 2

Answer 1

I don't see the graph — could you upload the image or describe it (key points, turning points, end behavior, any open/closed dots)?

To choose among the options, check the smallest and largest y-values the graph attains:
- If it takes every y-value, range = all real numbers.
- If it has a lowest y-value L and attains it (solid dot or continuous), the range is y ≥ L. If it approaches L but doesn't reach it (open dot/asymptote), the range is y > L.
- If it has a highest y-value U, similarly the range is y ≤ U (or y < U if not reached).

So identify the minimum y from the graph:
- if min = 0 → choose “all real numbers greater than or equal to 0”;
- if min = 1 → choose “…greater than or equal to 1”;
- if min = 2 → choose “…greater than or equal to 2”;
- if no min and no max → “all real numbers.”

Send the graph or its description and I’ll pick the correct answer.