The asymptotes of the function are x=-3π/2+4πn where n is an integer.
The given function is y=tan[(1)/(4)(x-(π/(2)]+1.
We need to find the asymptotes of the given function.
What are asymptotes?
In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.
Find the vertical asymptotes by finding the values that make the equation undefined.
No horizontal asymptotes.
No oblique asymptotes.
Vertical asymptotes: x=-3π/2+4πn where n is an integer.
Therefore, the asymptotes of the function are x=-3π/2+4πn where n is an integer.
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