What is the range of the function f of x is equal to negative 2 times open paren 6 to the x th power close paren plus 3 ?

For every real x, 6^x is positive. Therefore, −2(6^x) is always negative, so adding 3 gives a value strictly less than 3. The function can approach 3 but never reach it, and it decreases without bound, so its range is (−∞, 3), choice A.

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