Is [1,4],[1,5],[1,6],[1,6],[1,7] a function????
Draw a graph that helps and then do the vertical line test.
I think this will give you a line going throught the x-axis at 1. It won't pass the vertical line test which says you should be able to draw a vertical line at any place through the graph.
I don't get it!!!
Maybe you haven't learned the vertical line test.
Each x - value can be related to one and only one y - value. Since the x is associated with several different y-values then it is not a function.
However, it is okay for two different x - values be associated with the same y-value.
(2, 3 ) and (4, 3) and (7, 3) would be a function.
So, it's not a function??
It is not a function.
Thank you sooooooooooooooo much Dr. Jane, but I still don't understand it 100%
Functions are hard to understand. If you can make graphs, they are easier to see.
A circle isn't a function based on my explanations, but a half- circle can be.
y = x^2 is a function and x =y^2 is not.
Any straight linelike y = 2x+3 is a function.
x = 5 is not a function
y = 5 is a function.
If you can graph these, you may see the pattern.
If for a single value of x, you have two or more values of y, it is not a function
Here you have four values of y for x = 1
To determine if the given set of points {[1, 4], [1, 5], [1, 6], [1, 6], [1, 7]} represents a function, we need to check if each input (x-value) corresponds to a unique output (y-value).
In this case, since the x-value is constantly 1, we only need to focus on the y-values. If all the y-values are unique, then it is a function; otherwise, it is not.
In the given set, we can see that the y-values [4, 5, 6, 6, 7] are not all unique. The y-value of 6 appears twice, which means that the input value of 1 is associated with two different output values. Therefore, the given set of points does not represent a function.