Question

Determine whether Relations Are Functions{(-2, 4), (0, 2), (-1, 3), (4, -2)}y=x":The set of ordered pairs above:DONEXDONEDomainyRangefunctionnot a function-35-33-1247-1-1-1-25-14The table above:

Answer 1

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

In the given relation {(-2,4), (0,2), (-1,3), (4,-2)}, each input is mapped to exactly only one output.

So, the set of ordered pairs above is a function.

In the mapping diagram, each element in the domain is mapped exactly only to one element in the range. So, the mapping diagram is a function.

Consider the function

$y=x^4$

For each value of x, it gives exactly one value for y. Hence the given relation is a function.

From the table, -1 maps to both 2 and 4. Hence it is not a function.