What is the range of the function y = –2(2)x + 2?

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)

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