The function you've provided is $F(x) = 3x - 7$.

This is a linear function where:

• The slope ($m$) is 3, which means for every unit increase in $x$, $F(x)$ increases by 3.
• The y-intercept is -7, which means the graph of the function crosses the y-axis at $y = -7$.

Key Points:

1. Slope: $m = 3$
2. Y-intercept: $b = -7$
3. General form: The function is in the form $F(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
4. Domain: The domain of $F(x)$ is all real numbers, $x \in \mathbb{R}$.
5. Range: The range of $F(x)$ is also all real numbers, $F(x) \in \mathbb{R}$.

Do you want details or have any questions?

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Related Questions:

1. How do you find the x-intercept of this function?
2. What is the graph of this function like?
3. How does changing the slope affect the function?
4. How would you solve for $x$ if $F(x) = 0$?
5. What are some applications of linear functions like this one?

Tip: To quickly graph linear functions, start by plotting the y-intercept and then use the slope to find other points on the line.