Re: Daily question
Posted by Amit Goyal on Mar 27, 2009; 12:12pm
URL: http://discussion-forum.276.s1.nabble.com/Daily-question-tp2328964p2543982.html
26-28 March, 2009
1) Find the values of a and b such that the function de
fined by
f(x)= 5, if x ≤ 2
= ax + b, if 2 < x < 10
= 21, if x ≥ 10
is a continuous function.
2) Find all the points of discontinuity of f defi
ned by f(x) = |x|-|x + 1|.
3) Suppose f and g are two discontinuous function, then f + g is necessarily discontinuous. Prove or disprove.