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The image shows a question asking to find \( g(-5) \), a graph of a linear function \( g(x) \), and a table for another function \( f(x) = 2x^2 + 8x - 2 \).

### Step 1: Analyze the graph for \( g(x) \).
The graph represents a linear function. To find \( g(-5) \), we need to look at the point on the graph where \( x = -5 \).

From the graph, when \( x = -5 \), the corresponding \( y \)-value (i.e., \( g(-5) \)) appears to be \( 3 \).

Thus, \( g(-5) = 3 \).

Would you like more details on interpreting the graph, or assistance with the function \( f(x) \)?

Here are 5 related questions to deepen understanding:
1. How do you determine the slope of a linear function from a graph?
2. Can you explain how to find the intercepts of a linear function?
3. What is the general form of a linear equation, and how can it be used to analyze the graph?
4. How do you solve for values of \( f(x) \) from the quadratic equation provided?
5. How would the value of \( g(x) \) change if the slope of the line were steeper?

**Tip:** For linear functions, knowing two points is enough to determine the equation of the line and find other values!

Find g(-5) using the graph of the linear function g(x) and the table for the function f(x) = 2x^2 + 8x - 2.

Learn how to find g(-5) using a linear function graph and a quadratic equation table. This problem involves interpreting graphs and solving quadratic functions. Suitable for students in Grades 8-10.

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