Chapter 2
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)}.
Find the domain and range of the following real functions: (i) f(x) = - x (ii) f(x) = 29 x− .
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) = 9C 5 + 32. Find (i) t(0) (ii) t(28) (iii) t(-10) (iv) The value of C, when t(C) = 212.
Find the range of each of the following functions. (i) f (x) = 2 - 3 x, x ∈ R, x > 0. (ii) f (x) = x2 + 2, x is a real number. (iii) f (x) = x, x is a real number.