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Chapter 8: Q7. (page 403)

Describe and correct the error in the given statement.

The relation 1,-5,2,-5,3,6,4,11 is not a function because the inputs 1 and 2 are both paired with the output -5.

Short Answer

Expert verified

The given relation isa function becausetwo x-values can have same out-put.

Step by step solution

01

Step 1. Given Information.

A relation: 1,-5,2,-5,3,6,4,11

02

Step 2. Explanation.

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

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

Since 1 and 2 represent two different x-values (inputs), so they can have the same outputs.

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

Tell whether the given value of the variable is a solution of the equation.

-17-a=-23;a=-6

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

y=-5x+2

Identify the domain and range of the relation.

Identify the domain and range of the relation.

0,1,2,4,3,7,5,4
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