If `g(x)=f(|x|/x)` is a) an increasing function b)a decreasing function c)a constant function d) none of these

In the interval (1,\ 2) , function f(x)=2|x-1|+3|x-2| is (a) increasing (b) decreasing (c) constant (d) none of these

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function

If f(X)={{:(x^2sin""(pix)/(2),|x|lt1),(x|x|,|x|ge1):} then f(x) is a)an even function b)an odd function c)a periodic function d)None of these

Let f:R rarr R be a differentiable function for all values of x and has the property that f(x) andf '(x) has opposite signs for all value of x. Then,(a) f(x) is an increasing function (b) f(x) is an decreasing function (c)f^(2)(x) is an decreasing function (d)|f(x)| is an increasing function

The function f(x)=-x/2+sin x defined on [-pi/3,pi/3] is (a) increasing (b) decreasing (c) constant (d) none of these

In the interval (1,2), function f(x)=2|x-1|+3|x-2| is (a) increasing (b) decreasing (c) constant (d) none of these

The function f(x)=-x//2+sinx defined on [-pi//3,\ pi//3] is (a) increasing (b) decreasing (c) constant (d) none of these

Let f be the function f(x)=cos x-(1-(x^(2))/(2))* Then f(x) is an increasing function in (0,oo)f(x) is a decreasing function in (-oo,oo)f(x) is an increasing function in (-oo,oo)f(x) is a decreasing function in (-oo,0)