The accompanying figure illustrates various binary relations from R to R. Which are functions?

The accompanying figure illustrates various binary relations from R to R. Which are functions? For those that are functions, which are onto? Which are one-to-one?

Solutions

Expert Solution

1) OPTIONS A,C AND D ARE FUNCTIONS SINCE THEY HAVE SINGLE Y FOR SINGLE X

2) OPTIONS C AND D ARE ONTO SINCE THEY COVER ALL Y VALUES IN GRAPH FROM -INF TO INF

3) OPTIONS A AND C ARE ONE TO ONE SINCE THEY ARE MONOTONIACAL IN NATURE

venereology answered 1 year ago

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