a.
To check: The graph of the relation is a function
Given information:
The graph is given below:
Concept used:
Vertical line test :The test state that a graph represent a function if and only if all vertical lines intersect the graph at most once.
Explanation:
Here from the graph can understand that when doing the vertical line test ,the vertical line intersect more than one point .So the graph fail in the vertical line test .
Hence the given graph of a relation is not function.
b.
To check: The relation that have an inverse and is a function.
Given information:
The graph is given below.
Concept used:
The ordered pair
The inverse of a relation is a function if and only if each horizontal line intersects the graph
of the original relation in at most one point.
Explanations:
Each ordered pair
But when do the horizontal line test it intersects at only one point so it pass the horizontal line test.
Hence the inverse of this relation is a function.
Chapter 1 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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