The function you provided is \( F(x) = 3x - 7 \).

### Key features of this linear function:

- **Slope (m):** The coefficient of \( x \), which is 3. This means for every unit increase in \( x \), \( F(x) \) increases by 3.
- **Y-intercept (b):** The constant term, which is -7. This is the value of \( F(x) \) when \( x = 0 \), meaning the line crosses the y-axis at \( (0, -7) \).
- **Domain:** Since this is a linear function, the domain is all real numbers, \( (-\infty, \infty) \).
- **Range:** Similarly, the range is also all real numbers, \( (-\infty, \infty) \).

Would you like a more detailed explanation or visualization?

Here are some related questions:
1. What is the slope-intercept form of a linear equation?
2. How do you find the x-intercept of \( F(x) = 3x - 7 \)?
3. Can you find the inverse of the function \( F(x) \)?
4. How do you graph the function \( F(x) = 3x - 7 \)?
5. What are the properties of a linear function?

**Tip:** The slope of a linear function determines its steepness; a larger slope means a steeper line.

Explore the linear function F(x) = 3x - 7. This problem covers key algebraic concepts such as slope, y-intercept, domain, and range. Ideal for students in Grades 6-8 learning about linear equations and their properties.

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