Is relation t a function? Is the inverse of relation t a function? Relation t: x values = {0,2,4,6} and y values = {-8,-7,-4,-4}

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justaguide eNotes educator| Certified Educator

The relation y = t(x) is defined such that the domain is {0, 2, 4, 6} and the range is {-8, -7, -4, -4}

-8 = t(0)

-7 = t(2)

-4 = t(4)

-4 = t(6)

t(x) is a function as for every value of x, there exists a value of t(x) and for no value of x are there more than one value of t(x). There are two values of x for which the value of t(x) is the same, t(4) = t(6) = -4. As the relation is not one-one the inverse is not a function.