Final answer:
A function with a range of all real numbers greater than or equal to -4 includes outputs that start at -4 and extend to infinity. An example is the function f(x) = x^2 - 4, which is a parabola opening upwards with the vertex at (0, -4).
Step-by-step explanation:
The question concerns identifying a function with a certain range. In mathematics, a function's range is the set of all possible output values it can produce. If a function has a range of all real numbers greater than or equal to -4, it means that the lowest value that the function can output is -4, and there is no upper limit to the values it can produce.
An example of such a function is f(x) = x^2 - 4. The graph of this function is a parabola opening upwards with the vertex at the point (0, -4). Since the vertex is the lowest point on the graph, the range of f(x) will include all real numbers that are -4 or greater. Another example can be the quadratic function f(x) = (x-1)^2 - 3, which is simply a horizontal shift and vertical shift of the parent function y = x^2. The vertex of this function is at (1, -3), but since it opens upwards, the range starts at -3 and extends to infinity, thus it includes all real numbers greater than or equal to -4.