Graph the relation and it's inverse. Use open circles to graph the points of the inverse
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we are given
relation as
R={(0,3) (4,2) (9,7) (10, -1)}
now, we can find it's inverse
It's inverse will be switching of x and y value
y-value will become x-value and x-value will become y-value
so, we get
R^-1={(3,0) (2,4) (7,9) (-1,10)}
now, we can draw graph
Step-by-step explanation:
We are given a set of points (0,3), (4,2), (9,7) and (10,-1) representing a function.
It is required to graph the function and its inverse.
As we know that, the inverse of a function is reflected by y=x line on the graph.
So, in order to find the inverse we have to replace the co-ordinate (x,y) by (y,x).
Then the points (3,0), (2,4), (7,9) and (-1,10) represents the inverse of the function.
So, after plotting all the points of the function and its inverse, we get the following graph, where figure 1 is of the function and figure 2 is of its inverse.