Sketch a rough graph of the yield of a crop as a function of the amount of fertilizer used.

I do not know what to do, can someone guide me?

it could be a linear function

yield = k * fertilizer + some_minimal_yield

or it could be more complicated.

If

f(x) = 8 sec x − 5x, find f '(x).

Of course! I can guide you through the process of sketching a rough graph of the yield of a crop as a function of the amount of fertilizer used.

To sketch the graph, you need to follow these steps:

1. Identify the variables: In this case, the two variables are the yield of the crop (dependent variable) and the amount of fertilizer used (independent variable).

2. Determine the range: Decide on a suitable range for the independent variable (amount of fertilizer) that makes sense for your specific situation. For example, you might choose a range from 0 to 100 units of fertilizer.

3. Determine the relationship: Consider how the yield of the crop is affected by the amount of fertilizer used. In general, you would expect that as the amount of fertilizer increases, the yield would also increase up to a certain point. However, beyond that point, adding more fertilizer might not have a significant impact on the yield or could even decrease it (due to nutrient imbalances or environmental factors). This relationship is typically nonlinear.

4. Plot the points: Choose several values of the amount of fertilizer within your chosen range and calculate the corresponding yields based on your understanding of the relationship. For example, you might choose values of 0, 20, 40, 60, 80, and 100 units of fertilizer. Plot these points on a coordinate system, with the amount of fertilizer on the x-axis and the yield on the y-axis.

5. Connect the points: Using a smooth curve, connect the plotted points. The shape of the curve should reflect the expected nonlinear relationship discussed earlier. You can estimate the shape based on the pattern formed by the plotted points.

Remember that the graph you sketch is a rough representation and may not be precise. However, it will help you visualize the relationship between the amount of fertilizer used and the yield of the crop.

Please note that the specific relationship between fertilizer and crop yield can vary depending on factors such as the type of crop, soil conditions, climate, and other variables.