The range of function y = (13) − 2x2 − 8x + 1 (- 3 ≤ x ≤ 1) is______ .

The range of function y = (13) − 2x2 − 8x + 1 (- 3 ≤ x ≤ 1) is______ .

Let t = - 2x2-8x + 1 = - 2 (x + 2) 2 + 9, ∵ - 3 ≤ x ≤ 1, ∵ when x = - 2, t has a maximum value of 9; when x = 1, t has a minimum value of - 9, ∵ - 9 ≤ t ≤ 9, the function y = (13) x is a decreasing function in the domain of definition, and the domain of the original function is [3-9, 39]. Therefore, the answer is: [3-9, 39]