Multiple-Choice Questions

Your score is derived by taking the number of correct answers divided by the total number of attempts.

Click on the answer you think is correct.
You may try until you get the correct answer.

1. Let f(x)=sgn(x) and g(x)=1+x. One of the following statements about f and g is true. Which one is it ?
a)	fg is continuous at x=0.
b)	gf is continuous at x=0.
c)	fg is continuous at x=0.
d)	f + g is continuous at x=0.

2. Which of the following conditions are sufficient to imply that exists ? (I) 2-2x2 f(x) 2cos2x, for all x in (-1,0]. (II) 2-2x2 cos2x, for all x in (-1,½). (III) 2-2x2 f(x) <2cos2x, for all x not equal to 0. (IV) 2-2x2 2cos2x, for all x > 0.
a)	(I) and (II)
b)	(II) and (III)
c)	(III) and (IV)
d)	(IV) and (I)

3. In which one of the following intervals does have a root ?
a)	(-3,-2)
b)	(-1,0)
c)	(0,1)
d)	(2,3)

4. How many points are there at which is not continuous ?
a)	None
b)	1
c)	2
d)	3

5. Let . Which one of the followings is the value of m such that f is continuous on R?
a)	1
b)	2
c)	3
d)	4