Question

Determine whether the following relation is a function. Then state the domain and range of the relation or function.{(7,6), (4,-6), (0,-1), (3,3), (1,1)}Is this relation a function? Choose the correct answer below.A.Yes, because each first component corresponds to exactly one second component.B.No, because each first component corresponds to more than one second component.C.Yes, because each first component corresponds to more than one second component.D.No, because each first component corresponds to exactly one second component.

Answer 1

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.”

The input values make up the domain, and the output values make up the range.

The relation is given to be:

`\mleft\lbrace(7,6\mright),(4,-6),(0,-1),(3,3),(1,1)\}`

To classify a function, get the input and output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

The input values are: {7, 4, 0, 3, 1}

The output values are: {6, -6, -1, 3, 1}

Therefore, the relation is a function.

The correct option is OPTION A: Yes, because each first component corresponds to exactly one second component.

The domain is:

`\mleft\{7,4,0,3,1\mright\}`

The range is:

`\mleft\{6,-6,-1,3,1\mright\}`