If a relation is a function, how many y-values can an x-value have?
B
If a relation is a function, how many y-values can an x-value have?
C
If a relation is a function, how many y-values can an x-value have?
D
If a relation is a function, how many y-values can an x-value have?
E
If a relation is a function, how many y-values can an x-value have?
F
If a relation is a function, how many y-values can an x-value have?
A
function
B
not a function
C
not a function
D
function
E
not a function
F
function
Practice makes perfect
For a relation to be a function, each x-value can only be paired with one y-value, but one y-value can be paired with multiple x-values. In a graph, we can check if each x-value has only one y-value by subjecting it to the Vertical Line Test.
On the given graph, each vertical line passes through the graph at only one point. There is no visible part where two points have the same x-value, so the graph is a function.
We are given the following graph.
We want to determine if the graph is a function. Let's do this using the Vertical Line Test.
From the graph, we can see that there is at least one x-value with more than one y-value. The graph fails the vertical line test, so it is not a function.
Let's consider the following graph.
To figure out if the graph is a function, we can use the Vertical Line Test.
Note that there is one x-value with more than one y-value, which means that the graph fails the Vertical Line Test and is not a function.
We want to determine if the given graph is a function.
Again, let's do this using the Vertical Line Test.
We can see that there is no visible part where two points have the same x-value. Each vertical line passes through the graph at only one point, so the graph is a function.
Let's analyze the following graph.
To determine if the graph is a function, we can use the Vertical Line Test.
Since there is at least one x-value with more than one y-value, the graph fails the Vertical Line Test and is not a function.
We want to figure out if the given graph is a function.
Again, let's do this using the Vertical Line Test.
We can see that there is no visible part where two points have the same x-value. Each vertical line passes through the graph at only one point, so the graph is a function.
