Hey guys! I have a new topic in algebra and I was hoping someone could help me out? Thanks!
Determine whether the following relation is a function.
left-brace left parenthesis 3 comma 7 right-parenthesis comma left-parenthesis 3 comma 8 right-parenthesis comma left-parenthesis 3 comma negative 2 right-parenthesis comma left-parenthesis 3 comma 4 right-parenthesis comma left-parenthesis 3 comma 1 right-parenthesis right-brace
A. It is a function because the ordered pairs all have the same x-value.
B. It is not a function because there are multiple y-values paired with a single x-value.
C. It is a function because none of the ordered pairs have the same y-value.
D. It is not a function because none of the ordered pairs have the same y-value.
I need help with this asap! Does anyone know how to work this problem out?
- Lupa
I am taking the same assignment I believe right now. Give me a moment and I will see how I can help.
- Seeker
geez - ever heard of actual math?
{(3,7),(3,8),(3,-2),(3,4),(3,1)}
Now, ever hear of the vertical-line test?
what one characteristic makes a relation a function?
To determine whether the given relation is a function, we need to examine if each x-value is paired with a unique y-value or not.
To work out this problem, we can visually analyze the relation. The given relation is:
{(3, 7), (3, 8), (3, -2), (3, 4), (3, 1)}
We see that the x-value is the same for all the ordered pairs, which is 3. However, there are multiple y-values paired with this x-value. Therefore, the given relation is not a function because there are multiple y-values paired with a single x-value.
So, the correct answer is option B. It is not a function because there are multiple y-values paired with a single x-value.