Here is the graph of the function $f(n) = 1 - 2n$ defined from $\mathbb{Z}$ to $\mathbb{Z}$. The function is linear, with a negative slope, indicating that as $n$ increases, $f(n)$ decreases.

Would you like further details or have any questions?

Here are five related questions to explore this topic further:

1. What is the slope of the line represented by $f(n) = 1 - 2n$?
2. How does the function $f(n) = 1 - 2n$ behave if we consider $n$ in the range from 0 to positive infinity?
3. What would change if we defined a different function, such as $g(n) = 1 + 2n$?
4. Can we determine the intercepts of $f(n) = 1 - 2n$ with the axes?
5. How does this graph compare to other linear functions, like $f(n) = 2n + 1$?

Tip: In linear functions of the form $f(n) = a + bn$, the coefficient $b$ represents the rate of change or slope of the line, while $a$ represents the initial or starting value.