Graph this function and show the graph over the valid range of the variable x..

Show Graph here

You did not provide the function that is supposed to be graphed. But never mind, we can't draw graphs for you here anyway.

To graph a function over the valid range of the variable x, follow these steps:

1. Identify the function you want to graph. It could be written in the form of f(x) = ...

2. Determine the valid range of the variable x. This might be given to you explicitly or implied by the context of the problem. For example, if x represents time, the valid range might be from 0 to 10.

3. Select a set of input values for x within the valid range. Choose a sufficient number of points to accurately represent the function.

4. Use the selected input values to calculate the corresponding output values, based on the function. This means plugging in each x-value into the function and evaluating the expression.

5. Plot the calculated points on a graph, with the x-values on the horizontal axis and the y-values on the vertical axis. Ensure the plot extends to cover the entire valid range of x.

6. Connect the plotted points with a smooth curve or a series of line segments. Use your judgment to determine the most appropriate way to connect the points based on the behavior of the function.

If you provide the specific function, I can demonstrate these steps for you.