Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Examples
Example 2
Example 3 Important
Example 4 Important
Example 5
Example 6 Important
Example 7
Example 8 Important
Example 9 Important
Example 10
Example 11 (i)
Example 11 (ii) Important
Example 11 (iii) Important
Example 12
Example 13 You are here
Example 14 Important
Example 15 Important
Example 16
Example 17 Important
Example 18
Example 19
Example 20 Important
Example 21 Important
Example 22 Important
Examples
Last updated at May 29, 2023 by Teachoo
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