Final answer:
The question asks for help in finding a function, its domain, and range, and verifying if it's an odd function. Due to a typo in the function provided, a general explanation on odd functions and the concept of domain and range was given instead.
Step-by-step explanation:
The student's question asks about finding the function f(x) and identifying its domain and range. Unfortunately, the provided function seems to have a typographical error and does not make sense as written. However, we can address the student's need to check if a function is odd by demonstrating that f(-x) = -f(x), which is a characteristic of odd functions. Examples of odd functions include y = x3 and y = sin(x). In both cases, the graph of the function will be symmetric with respect to the origin, illustrating that for every point (x, f(x)) on the graph, there is a corresponding point (-x, -f(x)). The domain of an odd function is typically all real numbers, and the range may vary depending on the specific function.
To identify the domain and range of a given function and to check if it's odd or even, one needs a correctly formatted function. In general, the domain refers to the set of all possible input values (x-values), and the range is the set of all possible output values (f(x)-values). One way to approach this is to graph the function and look at its behavior or to apply algebraic tests, such as substituting -x for x to see if the original function is retrieved with a negative sign, which would confirm that the function is odd.