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```Name: _______________________________________
Date: _________________________
What is a Function?
Homework
For #1 – 2, determine whether the following relations are functions using a table, mapping
diagram, and the vertical line test. Find the domain and range of each relation.
1) {(−2, 5), (−1, 1), (3, 1), (−1, −2)}
Table
Mapping Diagram
Vertical Line Test
y
O
x
Function: Yes or No because _____________________________________________________________________________________
Domain: ___________________________ and Range: ___________________________
2) {(5,3), (4, 3), (3, 3), (2, 3), (1, 3)}
Table
Mapping Diagram
Vertical Line Test
y
O
x
Function: Yes or No because _____________________________________________________________________________________
Domain: ___________________________ and Range: ___________________________
For #3 – 5, determine whether the following are functions.
3)
4)
5)
6) Find the range of the function 𝑦 = −𝑥 ! − 2𝑥 + 4 if the domain is {– 3, 3, 7}.
"
!
7) Find the domain of the function 𝑦 = − # 𝑥 − \$ if the range is {– 2, 0, 4}.
```
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