Question
What are the domain and range of this relation? (-7,6) (8,-2) (0,2) (-9,8) (4,2) domain: -9,-7,0,-3,4 range: -6,-2,2,6,8 domain: -9,-7,-3,0,4,8 range: -6,-2,2,6,8 domain: -9,-7,-3,0,4,8 range: -6,-2,0,2,6,8 domain: -9,-7,0,-3,4 range: -6,-2,0,2,6,8
Solution
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FionaVeteran · Tutor for 9 years
Answer
### domain: $\{ -9,-7,0,4,8\} $<br />### range: $\{ -2,2,6,8\} $
Explain
## Step 1: Identifying the x-values<br />### The domain of a relation is the set of all possible x-values (inputs). In this case, the x-values of the given ordered pairs are -7, 8, 0, -9, and 4.<br />## Step 2: Identifying the y-values<br />### The range of a relation is the set of all possible y-values (outputs). The y-values of the given ordered pairs are 6, -2, 2, 8, and 2. Since sets don't contain duplicate values, the range is -2, 2, 6, and 8.<br />## Step 3: Writing the domain and range as sets<br />### We write the domain and range as sets in ascending order. The domain is $\{-9, -7, 0, 4, 8\}$. The range is $\{-2, 2, 6, 8\}$.
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