It can be seen from the graph that when x < 0, it is a gradually increasing curve, and when x > 0, it is a gradually decreasing curve, with both curves symmetric about the y-axis, let’s analyze the characteristics of this relation:
Analysis of the Relation
1.Is it a Function?
A relation is a function if each input ( x ) has exactly one output ( y ).
Given that for every value of ( x ) (both positive and negative), there is exactly one corresponding ( y )-value, this relation is a function.
2.One-to-One Function?
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