Answer:
- 1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
Step-by-step explanation:
- <em>Info to consider:</em>
- <em>Inverse of a function: (x, y) → (y, x)</em>
- <em>Definition of a function: Every input will have exactly one output. </em>
<u>Let's analyze the functions:</u>
1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
- It has unique y- values, its inverse won't have repeat x-values, so the inverse is also a function
2. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
- It has repeat y values of 6 and 2. Its inverse it is going to cause repeat input numbers with different output. This won't be a function
3. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
- It has repeat y values of 8. Its inverse it is going to cause repeat input numbers with different output. This won't be a function
4. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
- It has repeat y values of 1. Its inverse it is going to cause repeat input numbers with different output. This won't be a function
So the first set of data is the only correct one
