To verify whether the given statement is True or False, let's analyze the problem step by step:

The function is defined as:
$f(x) = |x| - 3$

Now, substitute $x = -3$ into the function:

$f(-3) = | -3 | - 3$

The absolute value of $-3$ is $3$. Thus:

$f(-3) = 3 - 3 = 0$

Since the result of $f(-3)$ is indeed $0$, the statement is True.

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Do you want further clarification or details? Here are some related questions:

1. What is the significance of the absolute value in the function?
2. How would $f(x)$ behave for other inputs, such as $x = 0$ or $x = 3$?
3. Can you graph $f(x) = |x| - 3$ and interpret its shape?
4. What happens if we replace $-3$ with another negative number like $-4$?
5. How does this function compare to $g(x) = |x| + 3$?

Tip: When working with absolute value functions, always separate the analysis for $x \geq 0$ and $x < 0$, as they often have different expressions.