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Example 20 - Let f = {(1,1), (2,3), (0, -1), (-1, -3)}. Find f(x)

Example 20 - Chapter 2 Class 11 Relations and Functions - Part 2

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Example 20 Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a linear function from Z into Z. Find f(x). Since f is a linear function, Let f(x) = mx + c. Putting value of x and y in the function For (1, 1) y = mx + c 1 = m(1) + c 1 = m + c m + c = 1 For (2, 3) y = mx + c 3 = m(2) + c 3 = 2m + c 2m + c = 3 Calculating (2) – (1) 2m + c – (m + c) = 3 – 1 2m + c – m – c = 2 2m – m + c – c = 2 m = 2. Putting m = 2 in (1) m + c = 1 2 + c = 1 c = 1 – 2 c = –1 So, f(x) = mx + c = 2x – 1

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.