Question 963431
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:


{{{graph(400,400,-5,2,-20,20,500*(x+3))}}}


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


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


<pre>
x          y
-3         -1000
-3         -500
-3          0
-3          500
-3          1000
</pre>


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.