State the domain of the following function.

y=5x−9

The given function is \( y = 5x - 9 \).

This is a linear function of the form \( y = mx + b \), where \( m = 5 \) and \( b = -9 \). Since linear functions are defined for all real numbers, the domain of this function is the set of all real numbers.

**Domain:** \( \mathbb{R} \) (or \( (-\infty, \infty) \))

Would you like more details on why the domain includes all real numbers?

Here are 5 related questions for practice:

1. What is the range of the function \( y = 5x - 9 \)?
2. How do you find the x-intercept of \( y = 5x - 9 \)?
3. How do you find the slope of the line represented by \( y = 5x - 9 \)?
4. If \( y = 5x - 9 \), what is the value of \( y \) when \( x = 3 \)?
5. What is the graph of the function \( y = 5x - 9 \) like?

**Tip:** Linear functions always have a domain of all real numbers because there's no restriction on the values that \( x \) can take.

State the domain of the following function: y = 5x - 9

Discover how to find the domain of the linear function y = 5x - 9. This problem explains that linear functions are defined for all real numbers, making their domain the set of all real numbers. Ideal for students in Grades 8-10.

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