The function f(x)=max {1-x),(1+x),2}, x ( (-(,() is
Continuous at all points
Differentiable at all points
Differentiable at all points except at x=1 and x=-1
Continuous at all points except at x=1 and x=-1, where it is discontinuous
1 and 3
2 and 4
If f(x) =min {1, x2, x3}, then
f(x) is continuous ( x ( R
f(x)>0, ( x>1
f(x) is continuous but not differentiable ( x ( R
f(x) is not differentiable at two points
1 and 3
2 and 4
Let f(x) be a quadratic expression which is positive for all the real values of x. If g(x) +f’(x) +f’’(x), then for any real x,
g(x)<0
g(x)>)
g(x)=0
g(x)>0
If y= y(x) and it follows the relation x cos y +y cos x=( then y’’ (0)
1
-1
(
-(
/
2
– 3
– 5
None of the above
The function is ____.
An even function
An odd function
A periodic function
None of the above
The value of is ____.
0
1
None of the above
The value of is ____.
1
99
0
If denotes the greatest integer less than or equal to then the value of the integral equals ____.
5/3
7/3
8/3
4/3
____.
0
1
None of the above