SOLUTION: I could not find a subject Relations and Functions My equation is to graph this relation x=-3 and I need to show all the work to get to the points of the graph I do not k

Click here to see ALL problems on Graphs

Question 963431: I could not find a subject
Relations and Functions
My equation is to graph this relation
x=-3 and I need to show all the work to get to the points of the graph I do not know where to start on this one. I need the domain and range in interval notation and if it is a function or not with the reason.
Thank you in advance for any assistance
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
x = -3 is a vertical line at x = -3.

The domain is x = -3 because x can't be at any point on the x-axis other than -3.

the range is infinity because y can take on any value along the y-axis.

this is not a function because there are more than one value of y for a specific value of x.

it is therefore a relation.

the graph of x = -3 looks something like this:

it's a vertical line at x = -3.

a table of values for this graph would be something like this:

x y -3 -1000 -3 -500 -3 0 -3 500 -3 1000

in other words, x can only be -3 and y can be any value along the y-axis.

there are an infinite number of possible values of y for that one value of x.

x can't take on any other value.

y can take on any value.

in interval notation, your domain would be x = [-3,-3].

that means that -3 is <= x which is <= -3.

that forces x to be equal to -3.

it can't be less than -3 and it can't be greater than -3 so it has to be -3.

in interval notation, your range would be y = (-infinity,infinity).

that means that y can be any value.