Q41. - Algebra 2

Question

FINANCE For Exercises $38-41$, use the table that shows a company’s stock price in recent years.

$41.$ Is the relation a function? Explain your reasoning.

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 table shows a company’s stock price in recent years.

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

The set notation of the given relation is:

$\left\{\left(1997,39\right),\left(1998,43\right),\left(1999,48\right),\left(2000,55\right),\left(2001,61\right),\left(2002,52\right)\right\}$

In this relation each element of the domain is paired with exactly one element of the range, therefore the given relation is a function.

 

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