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Determine whether the given relation defines Y-21x5 Is y a (unction ol x?funclion of X;...

Question

Determine whether the given relation defines Y-21x5 Is y a (unction ol x?funclion of X;

Determine whether the given relation defines Y-21x5 Is y a (unction ol x? funclion of X;



Answers

Determine if the relation defines $y$ as a one-to-one function of $x$.

Given the graph of the function, it is not 1 to 1. Because it fails, the horizontal line tests through the horizontal line. Y equals negative three. We have three points on it, and there can only be one, so it is not 1 to 1.

Given the graph, it passes the horizontal line test because horizontal line only intersects the graft at most one place, so it is In 1- one function.

Given the graph of this function, if we utilize the horizontal line test, Notice that a horizontal line only only ever intersects the function at most once, so this is a 1-1 function.

Given the graph of the function, if we apply the horizontal line test, notice that a horizontal line goes through the function more than one time, which means the inverse, um is not a function. We would say that this is not 1 to 1, okay.


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