Given that f x = 5 - 2 x , domain = 1 2 , 3 2 , 5 2 , 7 2 . Find the zero of the function. State the range.

Given : f x = 5 - 2 x Domain = 1 2 , 3 2 , 5 2 , 7 2 The value of x for which f x = 0 is called the zero of the function. So put f x = 0 ⇒ 5 - 2 x = 0 ⇒ x = 5 2 Since, 5 2 is an element of domain so we get the Zero of the function at x = 5 2 To find the range, substitute the values of x from domain. When x = 1 2 , f 1 2 = 5 - 2 1 2 = 4 when x = 3 2 , f 3 2 = 5 - 2 3 2 = 2 when x = 5 2 , f 5 2 = 5 - 2 5 2 = 0 when x = 7 2 , f 7 2 = 5 - 2 7 2 = - 2 Therefore, Range = 4 , 2 , 0 , - 2

Given f x = 7 - 2 x , x ∈ 1 , 2 , 3 , 4 , illustrate this by an arrow diagram.

Given: f x = 7 - 2 x , x ∈ 1 , 2 , 3 , 4 We have to find the range and then draw the arrow diagram. Substitute the values of x i n f x to find the range. When x = 1 , f 1 = 7 - 2 1 = 5 when x = 2 , f 2 = 7 - 2 2 = 3 when x = 3 , f 3 = 7 - 2 3 = 1 when x = 4 , f 4 = 7 - 2 4 = - 1 Therefore, Range = 5 , 3 , 1 , - 1 The function can be represented by arrow diagram as

Given g x = 2 x - 5 , x ∈ 0 , 2 , 4 , 6 , illustrate this by an arrow diagram.

Given: g x = 2 x - 5 , x ∈ 0 , 2 , 4 , 6 We have to find the range and then draw the arrow diagram. Substitute the values of x i n g x to find the range. When x = 0 , g 0 = 2 0 - 5 = - 5 when x = 2 , g 2 = 2 2 - 5 = - 1 when x = 4 , g 4 = 2 4 - 5 = 3 when x = 6 , g 6 = 2 6 - 5 = 7 Therefore, Range = - 5 , - 1 , 3 , 7 The function can be represented by arrow diagram as

E M B I B E

ICSE Skills In Mathematics>Algebra>Chapter 22 - Relations and Functions>EXERCISE 22(B)

V K Raman and S N Sharma Solutions for Exercise 2: EXERCISE 22(B)

Author:V K Raman & S N Sharma

V K Raman Mathematics Solutions for Exercise - V K Raman and S N Sharma Solutions for Exercise 2: EXERCISE 22(B)

Attempt the practice questions from Exercise 2: EXERCISE 22(B) with hints and solutions to strengthen your understanding. ICSE Skills In Mathematics solutions are prepared by Experienced Embibe Experts.