Find all the points of discontinuity of f defined by f(x)=|x|-|x+1|
Examine that sin |x| is a continuous function.
Show that the function defined by f(x) = |cos x| is a continuous function.
Show that the function defined by f(x)=cos(x2) is a continuous function.
Find the values of a and b such that the function defined by
\( f(x)=\{5,if\;x \leq 2,ax+b,if\;2\)\( \)
\( \{21,if \;x\geq 10\)