The graph for the function f(x) = -6x - 52 is added as an attachment
Using a table to identify the graph for the function
From the question, we have the following parameters that can be used in our computation:
f(x) = -6x - 52
Also, we have
x -10 -9 -7 8 6 4 2
To create the table, we set x to these values
Using the above as a guide, we have the following:
x f(x) = -6x - 52 f(x)
-10 f(-10) = -6 * (-10) - 52 8
-9 f(-9) = -6 * (-9) - 52 2
-7 f(-7) = -6 * (-7) - 52 -10
8 f(8) = -6 * (8) - 52 -100
6 f(6) = -6 * (6) - 52 -88
4 f(4) = -6 * (4) - 52 -76
2 f(2) = -6 * (2) - 52 -64
This means that we plot the graph using the ordered pairs from the table
The graph is attached