Option (C), the function y=cot(x+pi/4) represents the graph is the correct answer.
What is the graph of a function?
"The graph of a function is often a useful way of visualizing the relationship of the function models, and manipulating a mathematical expression for a function can throw light on the function's properties".
For the given situation,
The functions are
y=cot(x-pi/4)
y=tan(x-pi/4)
y=cot(x+pi/4)
y=tan(x+pi/4)
Plot all the functions in the graph and determine which function is represented in the graph shown.
The graph shown below represents the function y=cot(x+pi/4).
Hence we can conclude that in option (C), the function y=cot(x+pi/4) represents the graph is the correct answer.
Learn more about the functions of graphs here
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