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Chapter 1: Q3A. (page 47)

Determine if each of the equations represents a function 4x=8.

Short Answer

Expert verified

The given relation is not a function because, for two same input values, there is always a different output value.

Step by step solution

01

Step 1. To find.

The relation 4x=8 i.e. 0y+x=84=2is a function.

02

Step 2. From question.

The relation is 4x=8.

03

Step 3. Explanation.

A relation will be a function if

  1. Every value in its domain has a unique value in its codomain.
  2. For every value of x, there is a unique value of y.
  3. For every value of x, there must be only one value of y.
04

Step 4. Calculation.

We can write the given relation as, so it can be written as a set of ordered pairs as:

R={2,0,2,1,2,3….}

We see that, for any two same x values, there is a different y value in ordered pairs.

That means for a value of x, there are more than values of y.

05

Step 5. Conclusion.

From the above relation, for the same x values, there is always a different y value. So, this relation is not a function.

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