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Chapter 3: Q. 499 (page 360)

Use the mapping to

a) determine whether the relation is a function

b) find the domain of the function

c) find the range of the function.

Short Answer

Expert verified

a) This is a function

b) The domain is:-3,-2,-1,0,1,2,3

c) The range is:-243,-32,-1,0,1,32,243

Step by step solution

01

Step 1. Given Information

We have,

02

Part a) Step 2. Determine the relation is the function

Each x-value is matched with only one x5-value. So this relation is a function.

03

Part b) Step 3. The domain of the relation

The domain is the set of all x-values in the relation.

The domain is:-3,-2,-,1,0,1,2,3

04

Part c) Step 4. The range of the relation

The range of the set of all x5-values in the relation

The range is:-243,-32,-1,0,1,32,243

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