Question

does this graph represent a function?
a. yes, because each x - value has exactly one corresponding y - value
b. no, because there are no closed circles to show where the graph ends
c. yes, because it touches the y - axis exactly one time
d. no, because some of the y - values are paired with two x - values

Explanation:

A function is defined as a relation where each input (x - value) has exactly one output (y - value). The vertical line test can be used to determine if a graph represents a function. If a vertical line can be drawn anywhere on the graph and it intersects the graph at most once, then the graph is a function. In this graph, for every x - value, there is exactly one corresponding y - value.

Answer:

A. Yes, because each x - value has exactly one corresponding y - value