The range of which function is open paren 2 comma infinity close paren ?

For any real x, 5^x is positive, so its range is (0, ∞). Adding 2 shifts every output up by 2, giving the range (2, ∞). Thus the function y = 5^x + 2 has the requested range. The other choices have ranges (0, ∞) or (0, ∞) with a different scaling, rather than starting just above 2.

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