It seems like you intended to define a function, but the function's notation isn't entirely clear. Based on your input, it looks like you might be trying to define $F(x)$. If the function is supposed to be $F(x) = 2x - 1$, then:

Function Definition:

$F(x) = 2x - 1$

Key Characteristics:

1. Type: This is a linear function.
2. Slope: The slope of the function is 2, meaning the function increases by 2 units on the y-axis for every 1 unit increase on the x-axis.
3. Y-intercept: The y-intercept is -1, which is the point where the function crosses the y-axis (when $x = 0$).
4. Graph: The graph of this function would be a straight line with a slope of 2 and crossing the y-axis at -1.

Would you like a more detailed explanation, or do you have any specific questions about this function?

Related Questions:

1. How do you find the x-intercept of $F(x) = 2x - 1$?
2. What is the derivative of $F(x) = 2x - 1$?
3. How do you graph the function $F(x) = 2x - 1$?
4. What are the properties of linear functions?
5. How does the slope affect the steepness of the line?

Tip: When defining functions, ensure you clearly separate the function notation and its expression, such as $F(x) = 2x - 1$.