Which graphs are inverses of one another? the purple and blue the purple and orange the blue and orange none of the graphs shown

The purple graph reflects over the line y = x to get the orange graph. Every point on the purple graph reflects over y = x using the rule (x,y) --> (y,x). So the x and y values swap places more or less.

We do not reflect over any horizontal line, which is why the blue and purple don't pair up as inverse pairs.

The blue doesn't pair with the orange because of two reasons

1) The first local max, or highest hill, on the blue graph means that for some small region/interval, the y value is highest. However, the first bump in the orange graph shows that x is smallest for some y interval. The x and y swap when it comes to inverses.

2) The blue graph has y go off to negative infinity for both endpoints. So x must go off to negative infinity for the inverse (again x and y swap), but this isn't the case. Instead x goes off to positive infinity for both endpoints in the orange graph.

36

step-by-step explanation: