Plot the following

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Plot the following, where [][] denotes greatest integer function. (i) f(x)=[x2]f(x) = [x^2] , when −2≤x≤2-2 \le x \le 2 (ii) f(x)=[∣x∣]f(x) = [|x|] (iii) f(x)=[∣x−2∣]f(x) = [|x - 2|] (iv) f(x)=[∣x∣−2]f(x) = [|x| - 2] (v) f(x)=sin⁡−1(sin⁡∣x∣)f(x) = \sin^{-1}(\sin |x|) (vi) f(x)=[cos⁡−1x]f(x) = [\cos^{-1} x] (vii) f(x)=cos⁡(x−[x])f(x) = \cos(x - [x]) (viii) f(x)=[sin⁡−1(sin⁡x)]f(x) = [\sin^{-1}(\sin x)]

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