The function you've provided is $g(x) = 3x - 4$. This is a linear function, meaning it represents a straight line when graphed on a coordinate plane.

Key features of this function:

• Slope (m): The coefficient of $x$ is 3, so the slope of the line is 3. This means that for every 1 unit increase in $x$, the value of $g(x)$ increases by 3.
• Y-intercept (b): The constant term is -4, which means the line crosses the y-axis at $(0, -4)$.

Would you like to go deeper into details about graphing this function or its applications?

Here are 5 questions that expand on this concept:

1. How would you find the x-intercept of $g(x) = 3x - 4$?
2. What is the derivative of $g(x) = 3x - 4$, and what does it represent?
3. How would the graph of $g(x) = 3x - 4$ change if the slope were negative?
4. How can you find the inverse of the function $g(x) = 3x - 4$?
5. How would you solve $g(x) = 0$?

Tip: When analyzing linear functions, always remember the slope tells you how steep the line is, and the y-intercept tells you where it crosses the y-axis.