Chapter 3, Problem 1RE

To determine

whether the given rule defines a function.

Answer to Problem 1RE

Solution:

Not a function.

Explanation of Solution

Given: The rule is,

$x$	$3$	$2$	$1$	$0$	$1$	$2$
$y$	$8$	$5$	$2$	$0$	$-2$	$-5$

Explanation:

A function is a relation for which an element of first set is associated with the only one element of the second set.

From the given table, at $x=1$, the value of function is $2$ and $-2$. Similarly, at $x=2$, the value of function is $5$ and $-5$.

The given relation does not satisfy the definition of function. So, the given relation is not a function.