Question

Does this graph show a function explain how you know

Answer 1

Answer:

C. No, the graph fails the vertical line test

Step-by-step explanation:

Functions describe the relationship between the dependent variable, y, and the independent variable, x.

Functions

For a graph to be a function, x-values cannot repeat. This means that one x-value cannot have more than one y-value.

However, functions can have repeating y-values. So, y-values can have more than one x-value; as seen in quadratic functions. This means that answer B cannot be correct.

Vertical Line Test

The vertical line test is a way to determine if a graph is a function. A graph passes the vertical line test if you can draw a vertical line at every point on the coordinate plane and not have it intersect with the graph more than once.

On the graph in the question, a vertical line would intersect with the graph twice at the x-values greater than -1. Since the graph fails the vertical line test, it is not a function.