Question
Rajendra writes the equation f(t)=4t+95
to represent a function. Which statement is true?(1 point)
Responses
The domain of the function is made up of all real numbers, but the range of the function is not.
The domain of the function is made up of all real numbers, but the range of the function is not.
Neither the domain nor the range of the function is made up of all real numbers.
Neither the domain nor the range of the function is made up of all real numbers.
The domain and range of the function are both made up of all real numbers.
The domain and range of the function are both made up of all real numbers.
The range of the function is made up of all real numbers, but the domain of the function is not.
to represent a function. Which statement is true?(1 point)
Responses
The domain of the function is made up of all real numbers, but the range of the function is not.
The domain of the function is made up of all real numbers, but the range of the function is not.
Neither the domain nor the range of the function is made up of all real numbers.
Neither the domain nor the range of the function is made up of all real numbers.
The domain and range of the function are both made up of all real numbers.
The domain and range of the function are both made up of all real numbers.
The range of the function is made up of all real numbers, but the domain of the function is not.
Answers
GPT-4o mini
The function \( f(t) = 4t + 95 \) is a linear function.
1. **Domain:** The domain of a linear function (in this case, defined for all values of \( t \)) consists of all real numbers since there are no restrictions on \( t \).
2. **Range:** Similarly, because the function is linear and can produce any real number output as \( t \) varies over all real numbers, its range is also all real numbers.
Based on this analysis, the correct statement is:
**The domain and range of the function are both made up of all real numbers.**
1. **Domain:** The domain of a linear function (in this case, defined for all values of \( t \)) consists of all real numbers since there are no restrictions on \( t \).
2. **Range:** Similarly, because the function is linear and can produce any real number output as \( t \) varies over all real numbers, its range is also all real numbers.
Based on this analysis, the correct statement is:
**The domain and range of the function are both made up of all real numbers.**