The function y=x is a straight line. The range is all real numbers.The functions just tend to infinity as the x and y values get infinitely large or infinitely small.
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y is a function of x iffor each value of x (in the domain) there is a value of y, andfor each value of y (in the range) there is at most one value of x.
The range depends on the domain, which is not specified.
y < 1
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
Suppose the function, y = f(x) maps elements from the domain X to the range Y. Thenfor every element x, in X, there must be some element y in Y, andfor an element y, in Y, there can be at most one x in X.