which graph shows a function with a range of all real numbers greater than or equal to $-1$?

Brief Explanations:

The range of a function is the set of all possible output (y) values. We need to find the graph where the lowest y-value is -1, and all other y-values are greater than or equal to -1.

1. First graph: The y-values go below -1, so its range is not restricted to ≥-1.
2. Second graph: The y-values go below -1, so its range is not restricted to ≥-1.
3. Third graph: The y-values go below -1, so its range is not restricted to ≥-1.
4. Fourth graph: The minimum y-value is 1, so its range is all real numbers ≥1, which does not match. Correction: Re-evaluating the second graph: The graph has a vertex at y=-1, and all other points have y-values greater than or equal to -1, which fits the required range.

Answer:

The second graph (top-middle, with vertex at (-1, -1) and extending upwards)