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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!

Find the range for the function f(x) = 2x - 5 with the domain D = {0, 1, 2}.

Learn how to find the range of the linear function f(x) = 2x - 5 with a given domain D = {0, 1, 2}. This problem covers key concepts related to linear functions and domain-range calculations, suitable for students in Grades 7-9.

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