The function you've given is:

$f(x) = 4x - 9$

This is a linear function with slope 4 and y-intercept -9. Here's what we can deduce:

• Slope (m): The coefficient of $x$, which is 4. This means for every unit increase in $x$, $f(x)$ increases by 4.
• Y-intercept (b): The constant term is -9. This means when $x = 0$, $f(x) = -9$.

If you'd like to evaluate this function at a specific point, for example $x = a$, substitute $a$ into the function:

$f(a) = 4a - 9$

Would you like to evaluate it for a specific value of $x$, or explore something else about this function?

Here are five related questions:

1. What is $f(2)$ for this function?
2. How would you find the x-intercept of $f(x)$?
3. What is the inverse of $f(x)$?
4. How does the graph of $f(x) = 4x - 9$ compare to $f(x) = x - 9$?
5. How would you solve $f(x) = 0$?

Tip: The slope of a linear function determines how steep its graph is. The larger the slope, the steeper the line.