Question

x -4 -2 0 0
y 6 4 2 1
okay i need to determine if the table is a fuction or a relation and if the inverse is a relation or a fuction

Answer 1

Not a function just a relation. because of (0,2) and (0,1) Use the vertical line test. If two points cross a vertical line, it is not a function. Note a relation is just (x,y) pairs.
Inverse means switch x and y values
x is 6 4 2 1
y is -4 -2 0 0
Inverse is a function because it passes the vertical line test. Remember Inverse is a function and relation.
Plot the points on a graph it will help you determine this information.