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Consider the function f(x) = 2cos(x) + 1 on the interval [-2π, 2π]:
The maximum value of the function on this interval is 3.
f(x) = 3 when x = -2π, x = 0, x = 2π.
The minimum value of the function on this interval is -1.
f(x) = -1 when x = -π, x = π.
Let . On which of the following intervals can we use the Extreme Value Theorem to conclude that f must attain a maximum and minimum value on that interval?