Question
f(x)=13 find domain and range
Answers
GPT-4o mini
The function \( f(x) = 13 \) is a constant function.
### Domain:
The domain of a function is the set of all possible input values (x-values) for which the function is defined. Since there are no restrictions on the input for this constant function, the domain is:
\[
\text{Domain} = (-\infty, \infty)
\]
### Range:
The range of a function is the set of all possible output values (y-values) that the function can produce. Since \( f(x) = 13 \) for every input \( x \), the function always outputs the value 13. Therefore, the range is:
\[
\text{Range} = \{13\}
\]
In summary:
- **Domain**: \( (-\infty, \infty) \)
- **Range**: \( \{13\} \)
### Domain:
The domain of a function is the set of all possible input values (x-values) for which the function is defined. Since there are no restrictions on the input for this constant function, the domain is:
\[
\text{Domain} = (-\infty, \infty)
\]
### Range:
The range of a function is the set of all possible output values (y-values) that the function can produce. Since \( f(x) = 13 \) for every input \( x \), the function always outputs the value 13. Therefore, the range is:
\[
\text{Range} = \{13\}
\]
In summary:
- **Domain**: \( (-\infty, \infty) \)
- **Range**: \( \{13\} \)