Q16. - Algebra 2

Question

Use the table of record high temperatures $\left({}^{\circ }\text{F}\right)$ for January and July.

Is this relation a function? Explain.

Step-by-Step Solution

Answer

No, the given relation is not a function.

Step 1 – Definition of a function.

A relation is a function if each element of the domain is paired with exactly one element of the range and 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 table of record high Temperatures $\left({}^{\circ }\text{F}\right)$ for January and July.

Assume that the January temperatures are the domain.

Step 3 – Check whether the relation is a function.

This relation is not a function because 88 in the domain is paired with 97 and 95 in the range.

 

Thus, the relation is not a function.