Discuss the contiuity of the funtion f(x) =[x] +|1-x|, `-1 le xle 3,`where [.] represents the greatest integer function .

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Draw the graph of f(x) = [tan x], 0 le x le 5pi//12 , where [*] represents the greatest integer function.

Let f(x) = [x] and [] represents the greatest integer function, then

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

Discuss the differentiability of f(x) |[x]| x| "in" -1 lt x le 2, where [.] repesents the greatest intger function .

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

The points where the function f(x) = [x] + |1 - x|, -1 < x < 3 where [.] denotes the greatest integer function is not differentiable, are

Draw the graph of y=[4-x^(2)],|x|le2 , where [.] represents the greatest integer function.