The given function is $f(x) = 5x - 1$. This is a linear function, where the slope is 5 and the y-intercept is -1. Let's explore some important properties and insights about this function:

Key Properties:

1. Slope (m): The slope of the line is 5, which means for every unit increase in $x$, the value of $f(x)$ increases by 5.
2. Y-intercept (b): The y-intercept is -1, meaning that the graph of the function crosses the y-axis at the point (0, -1).
3. X-intercept: To find the x-intercept, set $f(x) = 0$ and solve for $x$: $0 = 5x - 1$ Solving this gives $x = \frac{1}{5}$. So the x-intercept is $\left(\frac{1}{5}, 0\right)$.
4. Graph: The graph of this function is a straight line with a positive slope. It rises as $x$ increases.

Example:

If $x = 2$, then: $f(2) = 5(2) - 1 = 10 - 1 = 9$

Let me know if you need more details or have any questions!

Here are 5 questions based on this function:

1. What is the value of $f(x)$ when $x = -1$?
2. How would you find the slope from two points on the graph of $f(x)$?
3. What happens to the graph of $f(x)$ if we change the slope from 5 to another value?
4. How would you solve $f(x) = 14$ for $x$?
5. What would the graph look like if we add a constant term to $f(x)$?

Tip: The slope of a linear function gives the rate of change of the function with respect to $x$.