if a graph has the following pts. (1,1) (0,0) (-1,-1) is there an inverse graph for it? does it look the same?

Question

if a graph has the following pts. (1,1)  (0,0)  (-1,-1) is there an inverse graph for it?  does it look the same?

anonymous · Answer

A function is invertible iff it is one-to-one (it must pass both the vertical and horizontal line tests)

anonymous · Answer

is it the same graph?  I have to pick the graph that is the inverse of given graph.

anonymous · Answer

the graph of the inverse of a function is the original function reflected across the line y=x

anonymous · Answer

the original graph is not a straight line.  shaped like an S and since the points are the same for x and y is their even an inverse graph for it?

anonymous · Answer

a function is one-to-one if there are no repeating values for x, and no repeating values for y

anonymous · Answer

so are u saying the original graph and the inverse graph are the same?

anonymous · Answer

no, the inverse will be a reflection across the line y=x

anonymous · Answer

remember that while the original function sends all x to y, the inverse function sends all y to x. hence, the reflection