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Chapter 8: Q15. (page 404)

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

Short Answer

Expert verified

The given relationis a function.

Step by step solution

01

Step 1. Given Information.

A relation:

02

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.

We know that for a relation to be a function, one x-value cannot have two y-values, while two or more x-values can have same y-value.

Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value.

03

Step 3. Conclusion.

The given relation is a function.

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Most popular questions from this chapter

Graph the equation. Tell whether the equation is a function.

y=2x-3

Solve the equation Check your solution.

47-2t=4

Identify the domain and range of the relation.

-1,2,-3,-1,6,0,-1,4

Write the equation in function form. Then graph the equation.

5x-2y=6

Solve the equation Check your solution.

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