The vertical line test can be used to identify graphs where y is a function of x. If the test shows that a graph intersects a vertical line at only one point for every x-value, then y is a function of x. If the test shows that the graph intersects the line at more than one point for any x-value, then y is not a function of x.
To identify graphs where y is a function of x, we can use the vertical line test. The vertical line test is a method used to determine if a graph represents a function. Here's how it works:
1. Draw a vertical line anywhere on the graph.
2. If the vertical line intersects the graph at only one point for every x-value, then the graph represents a function. This means that for each x-value, there is a unique y-value.
3. If the vertical line intersects the graph at more than one point for any x-value, then the graph does not represent a function. This means that there are multiple y-values for a single x-value, which violates the definition of a function.
Using the vertical line test, we can determine whether y is a function of x for a given graph.
A. If the vertical line test shows that the graph intersects the line at only one point for every x-value, then y is a function of x.
B. If the vertical line test shows that the graph intersects the line at more than one point for any x-value, then y is not a function of x.