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.