VIPSolutionsgive answer in 3 step with explanation at the end of each step and final answer at the end:Relation 3 Relation 4 3 Ah, 2G A). BG 2) 17, 00. m).(4, n).(=3, m} 7 0 Func i © Function O ot a function O Not a function
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give answer in 3 step with explanation at the end of each step and final answer at the end:
Relation 3 Relation 4 3
Ah, 2G A). BG 2) 17, 00. m).(4, n).(=3, m} 7
0 Func i © Function
O ot a function O Not a function
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Asked by: Pagal
Created at: 2025-05-30 19:41:24
Asked by: Pagal
Created at: 2025-05-30 19:41:24
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Let's analyze each relation step by step to determine if it is a function.
---
### **Relation 3:**
\[
\{(h, z), (w, h), (e, h), (z, z)\}
\]
#### **Step 1:** List the domain (first elements)
- The domain is: \( h, w, e, z \).
#### **Explanation:**
Each element in the domain must map to only one value in the range for the relation to be a function.
---
#### **Step 2:** Check for repeated elements in the domain
- \( h \) appears only once.
- \( w \) appears only once.
- \( e \) appears only once.
- \( z \) appears only once.
#### **Explanation:**
No element in the domain is repeated. Each input has a single output.
---
#### **Step 3:** Conclusion for Relation 3
- **This relation IS a function.**
---
### **Relation 4:**
\[
\{(7, n), (0, n), (4, n), (-3, n)\}
\]
#### **Step 1:** List the domain (first elements)
- The domain is: \( 7, 0, 4, -3 \).
#### **Explanation:**
Again, each element in the domain should map to only one value in the range.
---
#### **Step 2:** Check for repeated elements in the domain
- \( 7 \) appears only once.
- \( 0 \) appears only once.
- \( 4 \) appears only once.
- \( -3 \) appears only once.
#### **Explanation:**
No element in the domain is repeated. Each input has a single output (all to \( n \), but that's allowed).
---
#### **Step 3:** Conclusion for Relation 4
- **This relation IS a function.**
---
## **Final Answers:**
- **Relation 3:** Function
- **Relation 4:** Function
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