The graph of which function passes through open paren 0 comma 4 close paren and has a minimum value at open paren 3 pi over 2 comma 3 close paren ?

At x = 0, choice C gives sin(0) + 4 = 4, so the graph passes through (0, 4). Since sine ranges from −1 to 1, sin(x) + 4 has a minimum value of 3. That minimum occurs when sin(x) = −1, including at x = 3π/2, so the minimum point is (3π/2, 3).

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