Greatest Integer and Fractional Part Functions

JEE Main Mathematics · Relations and Functions · 4 questions, latest first

• Let f(x)=[x]^2-[x+3]-3, x ∈ R, where [·] is the greatest integer funtion. Then202622 January, Shift 2 · Q18
• The domain of the function f(x)=1/(√([x]^2-3[x]-10)) is (where [x] denotes the greatest integer less than or equal to x )202311 April, Shift 2 · Q2
• Let the sets A and B denote the domain and range respectively of the function f(x)=1/(√(x -x)), where x denotes the smallest…20236 April, Shift 2 · Q1
• If the domain of the function f(x)=([x])/(1+x^2), where [x] is greatest integer ≤ x, is [ 2,6 ), then its range is202331 January, Shift 1 · Q71