Answer:
the range is (-∞, 2)
Step-by-step explanation:
I believe you meant y = –2(2)^x + 2. (2)x is an entirely different type of function.
2^x is an exponential function whose range is (0, ∞ ).
-2^x is the same, except that it's a reflection of 2^x in the x-axis and has a range of (-∞, 0).
y = –2(2)^x + 2 represents the same graph as before, EXCEPT that it's been translated UP) by 2 units. Thus, the range is (-∞, 2)
