is y=5x-1 a function? if so, list the domain and range

Yes, the equation \( y = 5x - 1 \) is a function. Specifically, it's a linear function, because for every input \( x \), there is exactly one output \( y \).

### Domain:
The domain of the function refers to all possible values of \( x \). Since \( y = 5x - 1 \) is a linear equation, there are no restrictions on \( x \); it can take any real number. Therefore, the domain is:
\[ \text{Domain} = (-\infty, \infty) \]

### Range:
The range of the function refers to all possible values of \( y \). As \( x \) can take any real number, multiplying it by 5 and subtracting 1 will also produce any real number. Therefore, the range is:
\[ \text{Range} = (-\infty, \infty) \]

Would you like further details or have any questions?

### Related questions:
1. What is the slope of the function \( y = 5x - 1 \)?
2. How do you find the \( y \)-intercept of \( y = 5x - 1 \)?
3. How would you graph the function \( y = 5x - 1 \)?
4. What is the inverse of the function \( y = 5x - 1 \)?
5. How does the function \( y = 5x - 1 \) compare to \( y = 5x + 1 \)?

**Tip**: In a linear function, the coefficient of \( x \) is the slope, and it tells you how steep the line is.

Explore whether the equation y = 5x - 1 is a function and learn how to identify its domain and range. Understand linear functions and key concepts for Grades 8-10.

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