Question

Which of the following graphs represent a function? Check all that apply.

A curve that rises from left to right, graphed in a coordinate plane

A graph in a coordinate plane. The graph starts as a line that ascends from left to right. Then it becomes a vertical line going up.

A graph in a coordinate plane. The graph begins at 0, 0 and curves up and down, creating peaks and valleys. As the graph moves to the right, the peaks and valleys get smaller and closer together.

Three-quarters of a circle, graphed in a coordinate plane

A graph in a coordinate plane. The graph curves up and down, creating peaks and valleys, but there is no pattern to these peaks and valleys.

A graph in a coordinate plane. The graph curves back and forth, from left to right.

Answer 1

The graphs that represent a function are:

1. A curve that rises from left to right, graphed in a coordinate plane.
2. A graph in a coordinate plane. The graph starts as a line that ascends from left to right. Then it becomes a vertical line going up.
5. A graph in a coordinate plane. The graph curves back and forth, from left to right.

These three graphs depict a clear one-to-one correspondence between the x-values and y-values, satisfying the definition of a function.