https://file.aiquickdraw.com/mathbot/file/1728528830886g09pcww4.jpg

To solve for \( f(5) - g(-5) \), let's analyze the graph provided for the functions \( f(x) \) and \( g(x) \).

### Step 1: Find \( f(5) \)
Looking at the graph, find the point on the curve of \( f(x) \) when \( x = 5 \).
- From the graph, \( f(5) \) is at \( y = -8 \).

### Step 2: Find \( g(-5) \)
Now, find the point on the curve of \( g(x) \) when \( x = -5 \).
- From the graph, \( g(-5) \) is at \( y = 7 \).

### Step 3: Calculate \( f(5) - g(-5) \)
Now, subtract \( g(-5) \) from \( f(5) \):
\[
f(5) - g(-5) = -8 - 7 = -15
\]

Thus, \( f(5) - g(-5) = -15 \).

Would you like more details or have any questions?

Here are five related questions to explore further:
1. How would the result change if we had to compute \( f(-5) - g(5) \)?
2. What is the general method for reading points off a graph like this?
3. Can you describe how \( f(x) \) behaves for large positive and negative \( x \)?
4. How would you find the intersection points of \( f(x) \) and \( g(x) \) from the graph?
5. What is the slope of \( g(x) \) between \( x = 1 \) and \( x = 3 \)?

**Tip:** Always carefully check the axis labels when reading points off a graph to avoid confusion with positive and negative values!

Find f(5) - g(-5) based on the given graph.

Learn how to find f(5) - g(-5) using a graph. This problem involves reading points off the graph for two functions, f(x) and g(x), and then performing subtraction of function values. Suitable for students in Grades 6-8.

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