Problem

A relation in $x$ and $y$ is given. Determine if the relation defines $y$ as a one-to-one function of $x$. \[ \{(4,-3),(8,-3),(2,-2),(-12,-5)\} \] The relation defines $y$ as a one-to-one function of $x$. The relation does not define $y$ as a one-to-one function of $x$. Check Sai

Solution

Step 1 :A relation defines y as a one-to-one function of x if each x-value corresponds to exactly one y-value.

Step 2 :Looking at the given relation, we have the pairs \((4,-3), (8,-3), (2,-2), (-12,-5)\).

Step 3 :We can see that the x-values 4 and 8 both correspond to the same y-value -3.

Step 4 :Therefore, this relation does not define y as a one-to-one function of x.

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Source: https://solvelyapp.com/problems/HZshAsyiFw/

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