Any x-value solves F(x) = -1/3 - 2 because the constant function is a horizontal line, making every point on the x-axis a solution.
The linear function F(x) = -1/3 - 2 is a horizontal line, meaning its y-value remains constant regardless of the x-value. Therefore, any value of x is a solution to this function.
Here's why:
Constant term: The function only has a constant term (-1/3 - 2), which represents the y-intercept (where the line crosses the y-axis).
No slope: The function lacks an x term or a coefficient multiplying it, which would determine the slope and tilt of the line. Without a slope, the line remains flat, parallel to the x-axis.
Since every point on a horizontal line shares the same y-value (-1/3 - 2 in this case), any x-value plugged into the function will always result in that y-value. This makes every x-value a solution to the equation F(x) = -1/3 - 2.
Essentially, you can think of this function as a flat line sitting at y = -1/3 - 2. Any point you pick on the x-axis will lie on this line, making its corresponding x-value a solution.
Complete question below:
which is a solution to the linear function F(x)= -1/3-2, and why?