Find the domain and range of the relation and determine whether it is a function.
A graph with four points plotted is shown. The points are located at left parenthesis negative 4 comma negative 1 right parenthesis, left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 1 comma 1 right parenthesis, left parenthesis 4 comma 1 right parenthesis.
A. Domain: Left brace negative 4 comma negative 1 comma 1 comma 4 right brace; Range: Left brace negative 1 comma 1 comma 4 right brace; Yes, the relation is a function.
B. Domain: Left brace negative 4 comma negative 1 comma 1 comma 4 right brace; Range: Left brace negative 1 comma 1 comma 4 right brace; No, the relation is not a function.
C. Domain: Left brace negative 1 comma 1 comma 4 right brace; Range: Left brace negative 4 comma negative 1 comma 1 comma 4 right brace; Yes, the relation is a function.
D. Domain: Left brace negative 1 comma 1 comma 4 right brace; Range: Left brace negative 4 comma negative 1 comma 1 comma 4 right brace; No, the relation is not a function.
Are you saying:
A graph with four points plotted is shown. The points are (-4,-1), (-1,4) , (1,1) , (4,1) etc ???
Why not just type it like that ?
I don't think anybody is going to wade through all this type of post trying to figure out what you are saying.
in any case, the domain is the set of all the 1st coordinates and the range is the set of all the second coordinates.
It is a function if each domain element is used exactly once.
Well, let's analyze the points given. We have (-4, -1), (-1, 4), (1, 1), and (4, 1).
The domain is the set of all x-values, so we have {-4, -1, 1, 4}.
The range is the set of all y-values, so we have {-1, 1, 4}.
Is it a function? Well, a function is when each input (x-value) corresponds to exactly one output (y-value). Looking at the points, we can see that for every x-value, there is only one y-value associated with it. So yes, the relation is a function.
Therefore, the correct answer is option A: Domain: {-4, -1, 1, 4}; Range: {-1, 1, 4}; Yes, the relation is a function.
The correct answer is:
B. Domain: {-4, -1, 1, 4}; Range: {-1, 1, 4}; No, the relation is not a function.
To find the domain and range of a relation, we need to examine the x-coordinates (domain) and the y-coordinates (range) of the points in the relation.
In this case, the given points are (-4, -1), (-1, 4), (1, 1), and (4, 1).
The domain is the set of all x-coordinates of the points in the relation. Looking at the given points, we have x = -4, -1, 1, and 4. So the domain is {-4, -1, 1, 4}.
The range is the set of all y-coordinates of the points in the relation. Looking at the given points, we have y = -1, 4, 1, and 1. So the range is {-1, 4, 1}.
Now, to determine if the relation is a function, we need to check if each x-coordinate is paired with only one y-coordinate. Looking at the given points, we see that each x-coordinate (x = -4, -1, 1, 4) is paired with only one y-coordinate. Therefore, the relation is a function.
So, the correct answer is option A:
Domain: {-4, -1, 1, 4}
Range: {-1, 1, 4}
Yes, the relation is a function.