Q56. - Algebra 1

Question

Determine whether each relation is a function. (Lesson 1-7)

$\left\{\left(0,2\right),\left(3,5\right),\left(0,-1\right),\left(-2,4\right)\right\}$

Step-by-Step Solution

Answer

The given relation is not a function.

Step 1. State the concept.

A function is a relation in which each element of the domain is paired with exactly one element of the range. In a function, there is exactly one output (element of range) for each input (element of the domain).

Step 2. List the given data.

The relation: - $\left\{\left(0,2\right),\left(3,5\right),\left(0,-1\right),\left(-2,4\right)\right\}$

Step 3. Check for function.

In the given relation, it can be seen that not all elements of the domain are paired with exactly one element of the range. The element $0$ of the domain is paired with both $2$ and $–1$ from the range.

Thus, the given relation is not a function.