Answer:
(d) y = tan(x) +2
Explanation:
You want to identify the tangent or cotangent function that passes through point (0, 2) and has a period of π.
Tangent
The cotangent function is undefined at x=0, so options A and C can be excluded from consideration.
The tangent function is 0 at x=0, so the point (0, 2) has the value 2 added to the tangent function:
y = tan(x) +2 . . . . . . matches choice D
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