Check sibling questions

Example 13 - Define function y = f(x) = x^2. Complete the table

Example 13 - Chapter 2 Class 11 Relations and Functions - Part 2
Example 13 - Chapter 2 Class 11 Relations and Functions - Part 3 Example 13 - Chapter 2 Class 11 Relations and Functions - Part 4


Transcript

Example 13 Define the function f: R → R by y = f(x) = x2, x ∈ R. Complete the table given below by using this definition. What is the domain and range of this function? Draw the graph of f. Given f(x) = x2 To complete the table, we put values of x in f(x) f(−4) = (–4)2 = 16 f(−3) = (–3)2 = 9 f(−2) = (–2)2 = 4 f(−1) = (−1)2 = 1 f(0) = (0)2 = 0 f(1) = (1)2 = 1 f(2) = (2)2 = 4 f(3) = (3)2 = 9 f(4) = (4)2 = 16 So, our table looks like Here we are given x is real & we can put any value of x Hence, Domain = All possible value of x = R We note that f(x) has a minimum value of 0 and the value can increase up to infinity. So, Range of f = All possible values of f(x) = [0, ∞ ) And the graph of f(x) looks like

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Davneet Singh

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.