Question

Graph the relation and it's inverse. Use open circles to graph the points of the inverse

Answer 1

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

Answer 2

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.