The screenshot you've shared seems to show a table and a piecewise function. The function $f(x)$ is defined differently depending on the value of $x$. Here’s a breakdown of what’s on the image:

1. For $x < 1$, the function is defined as $f(x) = -2x$.
2. For $x \geq 1$, the function is defined as $f(x) = x - 4$.

The table provided shows values for both sections of the function:

• For $x = -1$, $f(x) = -2(-1) = 2$.
• For $x = 0$, $f(x) = -2(0) = 0$.
• For $x = 1$, $f(x) = 1 - 4 = -3$.

The piecewise function, therefore, switches from $-2x$ to $x - 4$ at $x = 1$.

If you're asking about $f(x) = x - 4$ in general, this is a simple linear function with a slope of 1 and a y-intercept at -4.

Do you need help graphing this or interpreting further details? Feel free to ask!

Here are 5 follow-up questions:

1. How do you determine where the piecewise function changes?
2. What is the domain of the function $f(x) = x - 4$?
3. What does the slope of $f(x) = x - 4$ tell you about the graph’s behavior?
4. How would you graph the piecewise function on a coordinate plane?
5. Can you explain the importance of the point where the two pieces of the function meet?

Tip: Always check for continuity at the point where a piecewise function changes (in this case, at $x = 1$).