Question

"Find the domain and the range of the function and also the image

of the set M=[0,2]
the answers are
a. domain = R / {-1,1}
b. range = R / {1/2 , 1}
c. f(M) = [0.1/2] U [1/2, 2/3]"

Answer 1

The domain of the function is all real numbers except -1 and 1. The range is all real numbers except 1/2 and 1. The image of set M under the function is the interval [0, 1/2) union (1/2, 2/3].

Step-by-step explanation:

The domain of a function represents the set of all possible input values. In this case, the function is not specified. However, based on the given information, we can assume that the domain is the set of all real numbers except -1 and 1, since those values are excluded.

The range of a function represents the set of all possible output values. Again, the function is not specified, but based on the given information, we can assume that the range is the set of all real numbers except 1/2 and 1, since those values are excluded.

The image of a set M under a function f(M) represents the set of all output values when the elements of set M are used as input for the function. According to the given information, f(M) is equal to the interval [0, 1/2) union (1/2, 2/3].