Final answer:
The maximum value of the function is 4.4 and the minimum value is -4.4.
Step-by-step explanation:
The function f(x) = 1.3sin(x) - 3.1cos(x) is a combination of a sine function and a cosine function. The maximum and minimum values of this function can be found by considering the amplitude of the sine and cosine functions.
The amplitude of the sine function is 1.3, so the maximum value of the sine function is 1.3 and the minimum value is -1.3.
The amplitude of the cosine function is 3.1, so the maximum value of the cosine function is 3.1 and the minimum value is -3.1.
Since f(x) = 1.3sin(x) - 3.1cos(x), the maximum value of f(x) is 1.3 + 3.1 = 4.4 and the minimum value of f(x) is -1.3 - 3.1 = -4.4.