Which set represents the range of the shown function? {(2), (5), (7), (−2)}

The range of a function represents the set of all possible output values (usually y-values) that the function can produce. To find the range, look for all the second elements in each ordered pair, since these correspond to the values that the function outputs.

For the given set of ordered pairs, {(8, 2), (6, 5), (4, 7), (11, −2)}, the range would be the set of the second elements from each pair.

So, the range of this function is {2, 5, 7, −2}.

Extra: The range is part of the concept of functions in mathematics. In a function, each input (usually represented by x) is associated with exactly one output (usually represented by y). This relationship is often written as y = f(x), where f represents the function.

The range, as part of the function, tells you what values you can expect as outputs when you input different values into the function. It's contrasted with the domain, which represents all the possible input values for the function.

When you're trying to visualize the function, the domain represents the possible x-values along the horizontal axis, and the range represents the possible y-values along the vertical axis in a two-dimensional Cartesian coordinate system. If you were to graph the function, the range would be the extent of the y-values that the graph covers.