The problem asks us to graph the function $f(x) = -4x - 3$.

1. Problem Description

The problem asks us to graph the function $f(x) = -4x - 3$.

2. Solution Steps

The function $f(x) = -4x - 3$ is a linear function in the form $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept. In this case, the slope $m = -4$ and the y-intercept $b = -3$.

To graph the function, we need to find at least two points on the line.

We already know the y-intercept, which is the point $(0, -3)$.

Let's find another point by setting $x = 1$.

$f(1) = -4(1) - 3 = -4 - 3 = -7$.

So, the point $(1, -7)$ is on the line.

Now we can graph the line using the points $(0, -3)$ and $(1, -7)$.

3. Final Answer

The graph of the function $f(x) = -4x - 3$ is a line passing through the points $(0, -3)$ and $(1, -7)$. Since the question uses a graphing tool, I will state the two points needed to define the graph.