Final answer:
The range of the function y=-5cosx+2 is [-3, 7] due to the properties of the cosine function and the given constants in the equation.
Step-by-step explanation:
The range of the function y=-5cosx+2 can be determined by identifying the maximum and minimum values of the function. The cosine part of the function varies between 1 and -1, due to the properties of the cosine function in mathematics. Multiplying this by -5 we get values between -5 and 5. Adding the 2, it changes our range to between -3 and 7. Therefore, the range of this function is [-3, 7].
Learn more about the Range of a function