Question
y= 32.50x + 65 what is the domain and range
Answers
GPT-4o mini
The equation \( y = 32.50x + 65 \) is a linear function.
1. **Domain:** For a linear function, the domain is all real numbers, since there are no restrictions on the values that \( x \) can take. This can be expressed in interval notation as:
\[
\text{Domain: } (-\infty, \infty)
\]
2. **Range:** Similarly, because it’s a linear function, the range is also all real numbers, since as \( x \) takes on all real values, \( y \) will also take on all real values. Thus, the range in interval notation is:
\[
\text{Range: } (-\infty, \infty)
\]
In summary:
- **Domain:** \( (-\infty, \infty) \)
- **Range:** \( (-\infty, \infty) \)
1. **Domain:** For a linear function, the domain is all real numbers, since there are no restrictions on the values that \( x \) can take. This can be expressed in interval notation as:
\[
\text{Domain: } (-\infty, \infty)
\]
2. **Range:** Similarly, because it’s a linear function, the range is also all real numbers, since as \( x \) takes on all real values, \( y \) will also take on all real values. Thus, the range in interval notation is:
\[
\text{Range: } (-\infty, \infty)
\]
In summary:
- **Domain:** \( (-\infty, \infty) \)
- **Range:** \( (-\infty, \infty) \)