Question
ignment 3-1.2 Question 4, 1.2.17 Part 1 of 8 HW S Refer to the relation below to answer the following questions. \[ \{(-8,-1),(-5,10),(10,8),(-1,-9)\} \] a. Find the domain and range of the relation. The domain of the relation is \( \{ \) \( \square \) The range of the relation is \{ \( \square \) \}. (Use a comma to separate answers as needed.)
Ask by Davies Mcfarlane. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The domain is \{-8, -5, 10, -1\} and the range is \{-1, 10, 8, -9\}.
Solution
To find the **domain** and **range** of the given relation:
\[
\{\, (-8, -1),\ (-5, 10),\ (10, 8),\ (-1, -9) \,\}
\]
- **Domain:** This consists of all the first elements of each ordered pair.
\[
\text{Domain} = \{\, -8,\ -5,\ 10,\ -1 \,\}
\]
- **Range:** This consists of all the second elements of each ordered pair.
\[
\text{Range} = \{\, -1,\ 10,\ 8,\ -9 \,\}
\]
**Final Answer:**
The domain of the relation is \{ -8, -5, 10, -1 }.
The range of the relation is \{ -1, 10, 8, -9 }.
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Simplify this solution The Deep Dive
Let's have some fun with this! The domain of the relation is \( \{ -8, -5, 10, -1 \} \), which consists of all the first elements (x-values) in your relation. Meanwhile, the range of the relation is \( \{ -1, 10, 8, -9 \} \), covering all the second elements (y-values). It’s like taking an adventurous journey through the number line, exploring each unique value! If you're ever confused about domain and range again, just remember that the domain is all about the inputs (x-values), while the range is focused on the outputs (y-values). A neat trick is to visualize the relation as a party – the domain is the guest list, and the range is the food options!
