Sketch the graph of F(x).
You are not serious, are you?
F(x) can be any function. You would have to tell us what it is.
We don't plot graphs here, anyway.
There are websites that do that for you, such as
http://rechneronline.de/function-graphs/
It would the the function F(x) defined in a previous post:
http://www.jiskha.com/display.cgi?id=1298565394
The graph is a straight line between the origin and (4000,80000), and is a horizontal line beyond that.
To accurately sketch the graph of a function F(x), we typically need more information about the specific function. Without any additional details or the function's equation, it's challenging to provide a specific graph. However, I can explain the general steps you can follow to sketch a graph:
1. Determine the domain and range: Identify the valid input values (domain) and the corresponding output values (range) for the function. This step helps you set the limits for your graph's x and y-axes.
2. Find key points: Locate any intercepts (where the function crosses the x or y-axis), critical points (where the derivative is zero or undefined), and other important points such as local maxima or minima, points of symmetry, or points of inflection. These key points will be plotted on the graph.
3. Determine behavior: Examine the behavior of the function as x approaches positive or negative infinity. Consider whether the function increases or decreases, approaches a horizontal asymptote, or exhibits any vertical asymptotes or holes in the graph.
4. Plot the points: Start by plotting all the identified key points on the graph, using the coordinates determined from step 2.
5. Draw the curve: Based on the information gathered from steps 2 and 3, sketch a smooth curve passing through the plotted points. Consider the behavior of the function between the key points and adjust the shape of the curve accordingly.
Please provide the function or additional details if you have a specific equation in mind so that I can assist you further in sketching the graph.