The function \( g(x) = 2x + 10 \) is a linear function, where:

- **Slope**: \( 2 \), which indicates the steepness of the line.
- **Y-intercept**: \( 10 \), which is the point where the line crosses the y-axis when \( x = 0 \).

### Example Calculations:
1. \( g(0) = 2(0) + 10 = 10 \)
2. \( g(1) = 2(1) + 10 = 12 \)
3. \( g(-2) = 2(-2) + 10 = 6 \)

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Here are some related questions:
1. What is the graph of \( g(x) = 2x + 10 \)?
2. How does the slope affect the shape of the function?
3. What is the inverse of the function \( g(x) = 2x + 10 \)?
4. How do you solve \( g(x) = 0 \)?
5. What happens when you add a constant to the function?

**Tip:** The slope \( m \) in a linear function \( y = mx + b \) determines the rate at which the function increases or decreases.

Explore how to analyze the linear function g(x) = 2x + 10. This problem highlights key algebraic concepts like slope and y-intercept, with examples showing how the function behaves at different values of x. Suitable for students in Grades 6-8.

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