https://file.aiquickdraw.com/mathbot/file/1727484053151au7em5i4.jpg

Let's break down the graph and solve the questions provided:

### 1. **Domain**:
The domain of a function is the set of all possible input values (x-values). In the graph, we can see that the line extends infinitely in both the positive and negative x-directions, so the domain is all real numbers:

- **Domain**: \( (-\infty, \infty) \)

### 2. **Range**:
The range is the set of all possible output values (y-values). Looking at the graph, the y-values go from \(-6\) (the lowest point of the graph) to \(2\) (the highest point the graph reaches).

- **Range**: \( [-6, 2] \)

### 3. **X-Intercept**:
The x-intercept is the point where the graph crosses the x-axis (i.e., where \( y = 0 \)). From the graph, we can see that the line crosses the x-axis at \( x = 1 \).

- **X-Intercept**: \( x = 1 \)

### 4. **Y-Intercept**:
The y-intercept is the point where the graph crosses the y-axis (i.e., where \( x = 0 \)). From the graph, the y-value at \( x = 0 \) is \( -3 \).

- **Y-Intercept**: \( y = -3 \)

### 5. **Function Values**:
   - \( f(-5) \): From the graph, when \( x = -5 \), the y-value is \( -6 \).
   - \( f(0) \): When \( x = 0 \), the y-value is \( -3 \).

- **Function Values**:
  - \( f(-5) = -6 \)
  - \( f(0) = -3 \)

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Would you like more details or have any further questions on these calculations? Here are some related questions:

1. How would you find the slope of the line between two points?
2. Can a function have more than one x-intercept? What would it mean graphically?
3. How does the domain of a linear function generally differ from other types of functions?
4. How can you check the accuracy of the y-intercept calculation using the equation of the line?
5. How is the range of a function affected by transformations like shifting or scaling?

**Tip**: For linear functions, the domain is often all real numbers unless there are specific constraints, such as division by zero or square roots of negative numbers.

Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if there is one; e. the following function values: f(-5), f(0).

Learn how to determine the domain, range, x-intercepts, y-intercepts, and function values from the graph of a linear function. This problem involves key graphing concepts and is suitable for Grades 7-10.

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