Chapter 3.1, Problem 26E

To determine

To fill: the given table. Check whether the relation is a function.

Answer to Problem 26E

Input $\left(t\right)$	1	2	3	4
Output $\left(v\right)$	1	2	1	3

Explanation of Solution

Given information:

When $t$ is the independent variable, the relation is a function, and when $t$ is the independent variable, the relation is not a function.

Given table

$t$
$v$

Calculation:

First, take distant values for $t$ and a repeated output.

Construct the following table:

Input $\left(t\right)$	1	2	3	4
Output $\left(v\right)$	1	2	1	3

From the table of values,

No input has more than one output. So the table represents a function.

If $\text{'}t\text{'}$ is dependent variable then there is an input namely ‘1’ which has two outputs 1 and 3. So, the table doesn’t represent a function.