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Q5.

Expert-verified
Found in: Page 403

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.$\left(1,2\right),\left(1,5\right),\left(2,4\right),\left(3,3\right),\left(4,1\right)$

The given relation is not a function.

See the step by step solution

## Step 1. Given Information.

A relation: $\left(1,2\right),\left(1,5\right),\left(2,4\right),\left(3,3\right),\left(4,1\right)$

## Step 2. Calculation.

Upon graphing our given relation, we will get our required graph as shown below:

The mapping diagram of our given relation would look like:

We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.

Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value except 1. We can see that 1 corresponds to 2 and 5.

## Step 3. Conclusion.

The given relation is not a function.