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.