Q: What is the range of the function y x?

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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.

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The function y=x is a straight line. The range is all real numbers.

x is a member of the function's domain, y is a member of the function's range.

The range is the y, while the domain is the x.

Maybe; the range of the original function is given, correct? If so, then calculate the range of the inverse function by using the original functions range in the original function. Those calculated extreme values are the range of the inverse function. Suppose: f(x) = x^3, with range of -3 to +3. f(-3) = -27 f(3) = 27. Let the inverse function of f(x) = g(y); therefore g(y) = y^(1/3). The range of f(y) is -27 to 27. If true, then f(x) = f(g(y)) = f(y^(1/3)) = (y^(1/3))^3 = y g(y) = g(f(x)) = g(x^3) = (x^3)^3 = x Try by substituting the ranges into the equations, if the proofs hold, then the answer is true for the function and the range that you are testing. Sometimes, however, it can be false. Look at a transcendental function.

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.

Domain (input or 'x' values): -∞ < x < ∞.Range (output or 'y' values): -2 ≤ y ≤ 2.

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.

The answer will range between '2' & '-2' Reason; The Sine function ranges between '1' & '-1' , so if it has a coefficient of '2', this will increase the range to '2' & '-2'.

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.

The diagram should be divided into to parts, the domain and the range. The domain is those things that you put into the possible function and the range is what comes out. Let's call a member of the domain x and of the range y. You can tell it is a function by tracing from each x to each y. If there is only one y for each x; there is only one arrow coming from each x, then it is function!