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 the three times .So the graph fails 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:
Here for each ordered pair
But when do the horizontal line test it cross only one point so it pass the horizontal line test.
Hence this inverse of this relation is a function.
Chapter 1 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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