Question

If you only had the graph of a relation on a piece of grid paper, how could you graph the inverse without listing the ordered pairs?

Answer 1

Assuming it had an inverse, and assuming we're working with the regular x-y coordinate system, turn the paper over, and then rotate the paper 90 degrees clockwise. Now draw the original function again as if the paper is the right way. Then rotate it back to the original position. What you just drew will look exactly like the inverse.

Answer 2

After I Unfold the paper. Where is the fold on the graph?

Answer 3

My method did not involve folding. Your teacher might be expecting another method. Give me a moment to describe it.

Answer 4

Another possible way, would be to fold your graph paper in half along the \(y=x\) line so that the original graph is on the inside. Then trace along your original line on the folded paper. There is one major restriction however.

When you're tracing, make sure that the original graph is on the other half of the paper. When you unfold it, you'll be able to see your original graph, and through the paper, you'll see the inverse graph.

Answer 5

Say this is your original graph. Then fold along the following line.