Question

Use this mapping diagram of f(x) to answer the questions

2- — 4
-1 — 1
0 — 0
1 — 1
2 — 4
Is f(x) a function?
Yes or no?

Answer 1

Yes, \( f(x) \) is a function. A function is defined as a relation that assigns exactly one output for each input. In the mapping you provided:

- The input 2 maps to the output 4.
- The input -1 maps to the output 1.
- The input 0 maps to the output 0.
- The input 1 maps to the output 1.

All inputs have unique outputs, which satisfies the definition of a function.