Q20. - Algebra 2

Question

Determine whether each relation is a function. Write yes or no.

Step-by-Step Solution

Answer

Yes, the given relation is a function.

Step 1 – Definition of function.

A relation is a function if each element of the domain is paired with exactly one element of the range.

A relation is not a function if there exist an element in the domain paired with more than one element of the range.

Step 2 – Given information.

The given table of values of a relation is:

Step 3 – Check whether the relation is function or not.

The set notation of the given relation is:

$\left\{\left(2000,\$4000\right),\left(2000,\$4300\right),\left(2002,\$4000\right),\left(2003,\$4500\right)\right\}$

This relation is a function because each element of the domain is paired with exactly one element of the range.

 

Thus, the required answer is yes because the given relation is a function.