https://file.aiquickdraw.com/mathbot/file/17295479376350t7u900h.jpg

The function provided in the image is \( f(x) = 5 \).

### Is \( f(x) = 5 \) a linear function?
Yes, \( f(x) = 5 \) is a linear function. It represents a horizontal line, which is a special type of linear function. The general form of a linear function is \( f(x) = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. In this case, \( m = 0 \) (since the function does not depend on \( x \)), and \( b = 5 \).

### Slope:
Since the function is constant and does not change with respect to \( x \), the **slope** is \( 0 \).

### Rate of Change:
The **rate of change** in this case is also \( 0 \), because there is no variation in \( f(x) \) as \( x \) changes.

Let me know if you need further clarification or additional details.

Here are 5 related questions:
1. What is the geometric interpretation of a linear function?
2. How do you find the slope of a line from its equation?
3. What is the difference between constant and non-constant linear functions?
4. How does the slope affect the appearance of a line?
5. Can a vertical line be considered a linear function?

**Tip:** The slope of a horizontal line is always zero since the y-values remain constant regardless of the x-values.

Is f(x) = 5 a linear function? If so, what are the slope and the rate of change?

Discover whether f(x) = 5 is a linear function and understand why it represents a horizontal line. This problem involves the concept of linear functions, slope, and rate of change. Learn how the slope of a constant function is zero.

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