Question

You should be writing all work for this problem neatly on a separate piece of paper as you work through the problem. This work will be collected by attaching a picture at the end of this problem, including your graph. Graph p(u)=−1+log₆

(u−6) on a separate piece of paper. Label your axes and scale appropriately, and label at least 3 points. p=

Answer 1

To graph the function p(u)=-1+log6 (u-6), draw the axes, plot points for u values greater than 6, and draw the curve, which will have a vertical asymptote at u = 6. Label at least three points and scale the axes appropriately.

Step-by-step explanation:

To graph the function p(u)=−1+log₆ (u−6), follow these steps:

Draw the coordinate axes and label them. The horizontal axis will be 'u', and the vertical axis will be 'p(u)'.

Identify that the graph is a logarithmic function with base 6. The graph will have a vertical asymptote at u = 6, because the log function is undefined for values less than or equal to zero, and u - 6 must be greater than zero.

Select values for 'u' that are greater than 6 and calculate the corresponding 'p(u)' values to plot points on the graph. For example, you can calculate points for u = 7, 8, 12, to provide at least three points to label as required.

Graph the points and draw a smooth curve that starts near the vertical asymptote (u = 6) and increases to the right. This is the logarithmic curve for the function. Remember that it will never touch the vertical asymptote.

Scale the axes appropriately, so the points clearly reflect their values.

Shade the area under the curve if necessary to represent a p-value or a specific probability area for another similar task. However, for the function p(u)=−1+log₆ (u−6), shading is not required unless additional context is provided as it does not represent a probability distribution.