Final answer:
The inverse of the function given by set A is found by swapping the x and y coordinates of each ordered pair, resulting in the set of pairs that form the inverse function, which can be plotted on a Cartesian plane.
Step-by-step explanation:
To find the inverse of a function represented by set A = {(-4,4), (-3,2), (-2,1), (0,-1), (1,-3), (2,-5)}, we swap the x and y coordinates in each ordered pair. This gives us the set of ordered pairs that form the inverse function.
So the inverse of the function is:
- (4,-4)
- (2,-3)
- (1,-2)
- (-1,0)
- (-3,1)
- (-5,2)
To plot the inverse on a Cartesian plane, we take each of these new ordered pairs and plot them as points on the plane, then connect them if they form a continuous function.