We are given the function $f(x) = 2x - 5$ and the domain $D = \{0, 1, 2\}$. To find the range, we need to compute the values of $f(x)$ for each element in the domain.

1. For $x = 0$: $f(0) = 2(0) - 5 = -5$

2. For $x = 1$: $f(1) = 2(1) - 5 = 2 - 5 = -3$

3. For $x = 2$: $f(2) = 2(2) - 5 = 4 - 5 = -1$

Thus, the range $R$ is the set of all resulting values: $R = \{-5, -3, -1\}$

Do you want more details or have any questions about this?

Here are 5 related questions you might find useful:

1. How do you find the range for a different domain in the same function?
2. What is the significance of the slope (2) and intercept (-5) in the function $f(x) = 2x - 5$?
3. How can you determine the domain of a function if it's not explicitly given?
4. What would the graph of $f(x) = 2x - 5$ look like, and how can we interpret it?
5. How does changing the domain affect the range of a linear function?

Tip:

Always substitute the domain values carefully and double-check your calculations to avoid errors when finding the range!