Graphs 1,5 are functions while graphs 2,3,4,6 are not functions.
A graph represents a function if it has one and only one y value or no y value for each x. If the graph has multiple y values for any x, then it is not a graph of a function.
We can check if the following graphs are functions or not by using the vertical line test.
In the vertical line test, we draw a vertical line across the function and if that line touches two points on the graph means the graph is not a function as per the definition of the function.
Let us apply this to the following graphs -
1. Graph 1- If we draw a vertical line and drag it from left to right, we see that no two points line on the same line. So, graph 1 is a function.
2. Graph 2 - If we draw a vertical line and drag it from left to right, we see that the line crosse two points on each number. So, graph 2 is clearly not a function.
3. Graph 3 - Here too, if a vertical line is drawn and dragged from left to right, we cross two points on every number. So, graph 3 is also not a function.
4. Graph 4 - If we draw a vertical line and drag it from left to right, we see that at some places the line crosse two points on each number. So, graph 4 too, is not a function.
5. Graph 5 - If we draw a vertical line and drag it from left to right, we see that no two points line on the same line. So, graph 5 is a function.
6. Graph 6 - Here also, if a vertical line is drawn and dragged from left to right, we cross two points on point -1. So, graph 6 is also not a function.
Hence, we can conclude that - Graph 1,5 are functions while graphs 2,3,4,6 are not functions.
Read more about the time series :
brainly.com/question/14819510
#SPJ4
The complete question is -
For each graph below, state whether it represents a function or not.
1. Graph 1
2. Graph 2
3. Graph 3
4. Graph 4
5. Graph 5
6. Graph 6
