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?
2- — 4
-1 — 1
0 — 0
1 — 1
2 — 4
Is f(x) a function?
Answers
GPT-4o mini
Yes, \( f(x) \) is a function. A function is defined as a relationship where each input (or domain value) has exactly one output (or range value).
In this mapping diagram:
- \( -2 \rightarrow 4 \)
- \( -1 \rightarrow 1 \)
- \( 0 \rightarrow 0 \)
- \( 1 \rightarrow 1 \)
- \( 2 \rightarrow 4 \)
Each input has a unique output. For example, the input \( -2 \) corresponds to the output \( 4 \), and there are no repeated inputs. Therefore, it satisfies the definition of a function.
In this mapping diagram:
- \( -2 \rightarrow 4 \)
- \( -1 \rightarrow 1 \)
- \( 0 \rightarrow 0 \)
- \( 1 \rightarrow 1 \)
- \( 2 \rightarrow 4 \)
Each input has a unique output. For example, the input \( -2 \) corresponds to the output \( 4 \), and there are no repeated inputs. Therefore, it satisfies the definition of a function.