Q66. - Algebra 1

Question

Determine whether each relation is a function.

Step-by-Step Solution

Answer

The relation is $\left\{\left(-4,3\right),\left(2,0\right),\left(1,-2\right),\left(2,1\right)\right\}$ not a function.

Step 1. Given information.

We have a table which some values of the $x$ and $y$ 

To express the relation or ordered pair of the given values of the $x$ and $y$ then show that the relation is a function or not.

Step 2. Concept apply.

The ordered pairs are in the form $\left(x,y\right)$ where $x$ and $y$ are in the same row in the given table.

We said any relation is a function, if each different first element is associated with a unique different second element in its all given ordered pairs.

Step 3. Calculation.

The set of ordered pair are $\left\{\left(-4,3\right),\left(2,0\right),\left(1,-2\right),\left(2,1\right)\right\}$ 

In the given relation 2 is associated  and 1 both

So, the above relation is not a function.

Hence, the relation $\left\{\left(-4,3\right),\left(2,0\right),\left(1,-2\right),\left(2,1\right)\right\}$ is not a function.