Answer: The answer is the third graph, attached herewith the image.
Step-by-step explanation: The given function is
[tex]f(x)=|-x-7|.[/tex]
We are to select the correct graph from the given four options that is defined by the function above.
At x = 0, y = 7
and
at y = -7, y = 0.
So, the points (0, 7) and (-7, 0) satisfies the given function and hence these points must lie on the graph also.
We can see that the points (0, 7) and (-7, 0) lie only on the third graph. The image is attached with these two points plotted.
Thus, the answer is the third graph.
