The function you've provided is $g(x) = -4 + 7x$.

This is a linear function, where:

• The slope (or rate of change) is $7$,
• The y-intercept (the value of $g(x)$ when $x = 0$) is $-4$.

Key Points:

• Slope: $7$ means for every increase of 1 unit in $x$, $g(x)$ increases by 7.
• Y-intercept: The point where the function crosses the y-axis is at $(0, -4)$.

Would you like me to graph this function or dive into more details about interpreting or transforming this function?

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Here are 5 related questions:

1. How do you find the slope of a linear function?
2. What does the y-intercept represent in a graph?
3. How do you determine if a function is increasing or decreasing?
4. How do you solve for $x$ when $g(x) = 0$?
5. How can you shift or transform a linear function?

Tip: To solve for $x$ in any equation, set the function equal to a value (like zero) and solve for $x$.