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What is meant by domain and range

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Q. The domain and range of real function f defined by

f (x) = \sqrt{x - 1}

is given by
(a) Domain = (1, ∞), Range = (0, ∞)
(b) Domain = [1, ∞), Range =(0, ∞)
(c) Domain = [1, ∞), Range = [0, ∞)
(d) Domain = [1, ∞), Range = [0, ∞)

Q. The domain and range of the real function of defined by

f (x) = \frac{4 - x}{x - 4}

is given by
(a) Domain = R, Range ={−1, 1}
(b) Domain = R −{1}, Range = R
(c) Domain = R −{4}, Range = {−1}
(d) Domain = R −{−4}, Range = {−1, 1}

If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Relation R from A to A is given by R = {(x, y):y = x + 3}. Find domain, co-domain and range of R.

A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Relation R from A to A is given by R = {(x, y):y = x + 3}. Find domain, co-domain and range of R.

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