Final answer:
To graph the constant function f(x) = 10 for 0≤x≤20, draw a horizontal line at y=10 between x=0 and x=20 on a labeled coordinate plane and shade underneath it. If needed for probability purposes, shade the right tail of the graph to represent the p-value.
Step-by-step explanation:
To complete the function for the given graph, we first need to understand the function described, which is f(x) = 10 when 0≤x≤20. Next, we need to graph this function on a coordinate plane with the x-axis labeled as 'x' and the y-axis labeled as 'f(x)'. Since the function is a constant, the graph will be a horizontal line.
Here is a step-by-step guide:
- Draw a horizontal x-axis and a vertical y-axis on graph paper.
- Label the x-axis as 'x' and the y-axis as 'f(x)'.
- Mark the scale on both the x and y axes, ensuring that the maximum x value is at least 20 and the maximum y value is at least 10.
- Since f(x) is constant at 10 for all values of x from 0 to 20, draw a horizontal line at y=10 that spans from x=0 to x=20.
- Shade the area under the graph from x=0 to x=20 to indicate the graph of the function.
- If this graph is related to a probability distribution, and we are asked to shade the right tail, then shade the area under the curve to the right of a specified value on the x-axis.
To calculate the p-value, you would typically compare the shaded area to a critical value or use statistical software. However, without additional context such as the distribution type or critical values, a specific p-value cannot be determined based on the information provided alone.
The graph you create will visually represent the function and any shading will convey additional significance, depending on the context, such as showing the likelihood of a variable being within a certain range if this is a probability distribution graph.