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I see that you’ve uploaded an image of a worksheet related to finding intercepts and evaluating functions. Let me extract the details and help you with each section.

### 1. Top-left corner: Function \( f(x) = x - 3 \)
The task is to find:
- **x-intercept**: This occurs when \( f(x) = 0 \).
    \[
    0 = x - 3 \quad \Rightarrow \quad x = 3
    \]
    So, the **x-intercept** is \( (3, 0) \).

- **y-intercept**: This occurs when \( x = 0 \).
    \[
    f(0) = 0 - 3 = -3
    \]
    So, the **y-intercept** is \( (0, -3) \).

### 2. Middle-left graph: Function \( f(x) = 2x + 4 \)
You need to find:
- **x-intercept**: Set \( f(x) = 0 \).
    \[
    0 = 2x + 4 \quad \Rightarrow \quad x = -2
    \]
    So, the **x-intercept** is \( (-2, 0) \).

- **y-intercept**: Set \( x = 0 \).
    \[
    f(0) = 2(0) + 4 = 4
    \]
    So, the **y-intercept** is \( (0, 4) \).

### 3. Middle-right graph: Function \( f(x) = -3x - 12 \)
The task is to find:
- **x-intercept**: Set \( f(x) = 0 \).
    \[
    0 = -3x - 12 \quad \Rightarrow \quad x = -4
    \]
    So, the **x-intercept** is \( (-4, 0) \).

- **y-intercept**: Set \( x = 0 \).
    \[
    f(0) = -3(0) - 12 = -12
    \]
    So, the **y-intercept** is \( (0, -12) \).

### 4. Bottom-left graph (grid with points)
It looks like you need to evaluate the function at certain points:
- \( f(0) \), \( f(2) \), and \( f(5) \).
I will need to zoom in on the graph to confirm, but the general task will involve finding the y-values for these x-values by inspecting the plotted points.

### 5. Bottom-right section: \( f(x) = 2x + 5 \)
The task is to evaluate the function for several given values:
- \( f(0) \):
    \[
    f(0) = 2(0) + 5 = 5
    \]
- \( f(2) \):
    \[
    f(2) = 2(2) + 5 = 9
    \]
- \( f(5) \):
    \[
    f(5) = 2(5) + 5 = 15
    \]

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Do you want further details on any section or help with plotting the graphs? Here are some related questions:

1. How do you calculate intercepts for more complex functions?
2. What is the geometric interpretation of a function’s intercepts?
3. Can you explain how to identify intercepts directly from a graph?
4. What are the practical applications of finding x- and y-intercepts?
5. How does changing the slope affect the intercepts of a linear function?

**Tip**: For linear functions, remember that the x-intercept tells you when the output is zero, and the y-intercept tells you the function's value when the input is zero.

Find the x-intercept and y-intercept of linear functions, and evaluate function values for specific inputs based on provided equations and graphs.

This worksheet focuses on identifying x- and y-intercepts for linear functions and evaluating function values at specific points. The problems involve equations like f(x) = x - 3 and f(x) = 2x + 5, with solutions tailored for students in Grades 8-10.

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