Answer:
(1/2, ∞ ). This corresponds to Answer B
Explanation:
Important: enclose that negative exponent (-2/3) inside parentheses:
1/3e^(x- 2/3) + 1/2
and also that coefficient, 1/3:
(1/3)e^(x- 2/3) + 1/2
The range of the exponential function y = e^x is (0, ∞ ); that is, y is always positive, never zero or negative.
The function of that "1/2" is to shift the entire graph 1/2 unit up.
Thus, the range (0, ∞ ) becomes (1/2, ∞ ). This corresponds to Answer B.