Question

The graph of a function is shown below, which of the following correctly identifies the set of outputs?

Answer 1

Remember that the "outputs" of a function are represented as y-values in functions. Thus, in this case we are trying to find the set of y-values the function produces.

According to the graph, that set would be {-3, -1, 3, 4}, or Choice A.

Answer 2

The set of outputs are an ordered list of y-values. The question will ask for all y-values given by the ordered pairs on the graph.

Identify the ordered pairs:

(-5, 4), (-2, -1), (-1, 3), (4, -3)

Take all of the y-values, and put them into a set:

{4, -1, 3, -3}

Order the values from least to greatest:

{-3, -1, 3, 4}

The set that correctly identifies the set of outputs will be the first answer, {-3, -1, 3, 4}.