What are the domain and range of f of x is equal to 2 times open paren 3 to the x th power close paren ?

The exponential expression 3^x is defined for every real value of x, so the domain is all real numbers, (−∞, ∞). Since 3^x is always positive, multiplying it by 2 keeps it positive; it can get arbitrarily close to 0 but never equals 0. Thus the range is (0, ∞), matching choice A.

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