Find the range of each of the following functions.
(i) f (x) = 2 – 3x, x ∈ R, x > 0.
(ii) f (x) = x
2
+ 2, x is a real number.
(iii) f (x) = x, x is a real number.
The function ‘t’ which maps temperature in degree Celsius into temperature in
degree Fahrenheit is defined by t(C) =
9C
5
+ 32.
Find (i) t(0) (ii) t(28) (iii) t(–10) (iv) The value of C, when t(C) = 212.
A function f is defined by f(x) = 2x –5. Write down the values of
(i) f (0), (ii) f (7), (iii) f (–3).
Find the domain and range of the following real functions:
(i) f(x) = – x (ii) f(x) = 2
9
Which of the following relations are functions? Give reasons. 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)}.
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