Question
Use this mapping diagram of f(x) to answer the questions.
-2
-1
0
1
2
0
1
Is f(x) a function?
Yes it is a function
-2
-1
0
1
2
0
1
Is f(x) a function?
Yes it is a function
Answers
GPT-4o mini
To determine if \( f(x) \) is a function, we need to ensure that for every input (or \( x \) value), there is exactly one output (or \( f(x) \) value).
Based on the mapping you've provided:
- For \( x = -2, f(-2) = 0 \)
- For \( x = -1, f(-1) = 1 \)
- For \( x = 0, f(0) \) is not specified (please provide the value)
- For \( x = 1, f(1) = 1 \)
- For \( x = 2, f(2) \) is not specified (please provide the value)
If you can clarify the missing values for \( f(0) \) and \( f(2) \), we can confirm if \( f(x) \) is indeed a function.
In general, if every \( x \) value maps to exactly one \( f(x) \) value, then yes, \( f(x) \) is a function. Based on the values provided (and if the unspecified ones do not create any duplicates), it would seem that \( f(x) \) is indeed a function.
Based on the mapping you've provided:
- For \( x = -2, f(-2) = 0 \)
- For \( x = -1, f(-1) = 1 \)
- For \( x = 0, f(0) \) is not specified (please provide the value)
- For \( x = 1, f(1) = 1 \)
- For \( x = 2, f(2) \) is not specified (please provide the value)
If you can clarify the missing values for \( f(0) \) and \( f(2) \), we can confirm if \( f(x) \) is indeed a function.
In general, if every \( x \) value maps to exactly one \( f(x) \) value, then yes, \( f(x) \) is a function. Based on the values provided (and if the unspecified ones do not create any duplicates), it would seem that \( f(x) \) is indeed a function.