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Chapter 3: Q. 497 (page 360)

Use the set of ordered pairs to

a) determine whether the relation is a function

b) find the domain of the relation

c) find the range of the relation

(-3,27),(-2,8),(-1,1),(0,0),(1,1),(2,8),(3,27)

Short Answer

Expert verified

a) This is a function

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

c) The range is27,8,1,0

Step by step solution

01

Step 1. Given Inforamtion

(-3,27),(-2,8),(-1,1),(0,0),(1,1),(2,8),(3,27)

02

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

Each x-value is matched with only one y-value. So this is 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.

So, the domain is:-3,-2,-1,0,1,2,3

04

Part c) Step 4. The range of the relation.

The range is the set of all y-values in the relation

So, the range is:-3,-2,-1,0,1,2,3

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