Consider the function `f(x) =(x^2-|x|+2)/(|x|+1) , (x in R)` the number of integers for which `f(x) < 0` is

Consider the function f(x)=m x^2+(2m-1)x+(m-2) If f(x)>0AAx in R then

Consider the function f(x)=sqrt(2-x)+sqrt(1+x) . If d denotes the number of integers in the domain of f and ' r ' denotes the number of integers in the range of f , then (d+r) equals

Consider the function f(x)=sqrt(2-x)+sqrt(1+x) .If 'd' denotes the number of integers in the domain of f and r denotes the number of integers in the range of f , then (d+ r) is equal to

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3). What is the number of points of local minima of the function f(x)? What is the number of points of local maxima of the function f(x)?

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3) What is the number of point of local maxima of the function f(x)?

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3) What is the number of point of local minima of the function f(x)?

Consider the function f(x)=(x^(2)-1)/(x^(2)+1), where x in R. At what value of x does f(x) attain minimum value? What is the minimum value of f(x)?