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Chapter 8: Q4. (page 402)

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

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

Short Answer

Expert verified

The given relation isnot a function.

Step by step solution

01

Step 1. Given Information.

A relation: -2,-1,0,2,2,3,-2,-4

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.

Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value except -2. We can see that -2 corresponds to -4and-1.

03

Step 3. Conclusion.

The given relation is not a function.

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Most popular questions from this chapter

To form the inverse of a relation represented by a set of ordered pairs, you switch the coordinates of each ordered pair. For example, the inverse of relation. 1,2,3,4,5,6is2,1,4,3,6,5. Give an example of a relation that is a function, but whose inverse is not a function.

Write an inequality represented by the graph.

The table shows the amount charged for standard ground shipping by an online electronics store.

  1. Is shipping cost a function of merchandise cost? Explain.
  2. Is merchandise cost a function of shipping cost? Explain.

The height of a person is measured every year from the age of 1 year to the age of 50 years.

  1. Do the ordered pairs age,height represent a function? Explain.
  2. Would you expect the ordered pairs height,age to represent a function? Why or why not?

Graph the equation.

x=-1.
See all solutions

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