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If you have a complex function in the form "a+ib", the (complex) conjugate is "a-ib". "Conjugate" is usually a function that the original function must be multiplied by to achieve a real number.
You need to have some idea about the behavior of whatever function you are using. As an example, if your function is f(x) = x2, you probably know that the lowest value this can have is 0 (for x = 0), and that for other values of x, the function will be positive. Also, that the function can achieve any positive value. So, in summary, for the set of real numbers, the function can take on any value greater or equal to zero. As another example, the sine function can only produce values between -1 and 1 (inclusive).
Not every relation is a function. But every function is a relation. Function is just a part of relation.
The cubic function.
Range