Find the domain and range of the following real functions:
(i) f(x) = -lxl (ii) f(x) = .

Let R be the relation on Z defined by a R b if and only if a – b is an even
integer. Find (i) R, (ii) domain R, (iii) range of R.

Which of the following relations are functions? If it is a function,
determine its domain and range:
(i) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

(ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

(iii) {(1, 3), (1, 5), (2, 5)}

A function f is defined by f(x) = 2x - 5. Write down the values of
(i) f(0), (ii) f(7), (iii) f(–3).

The function ‘t’ which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined by t(C) = + 32.
Find
(i) t(0)
(ii) t(28)
(iii) t(−10)
(iv) The value of C, when t(C) =212.