# The number of points of discontinuity of f defined by is ____________.

$f(x) = |x| - |x + 1|$

$f(x) = \begin{Bmatrix} 1 & x<-1 \\ -2x-1& -10 \end{Bmatrix}$

$\\ f(-1^-)=f(-1) = 1 \\ f(-1^+)= 1 \\ f(-1^-)=f(-1) = f(-1^+)\Rightarrow f(x) is continuous at x = -1 \\$

$\\ f(0^-)=f(0) = -1 \\ f(0^+)= -1 \\ f(0^-)=f(0) = f(0^+)\Rightarrow f(x) is continuous at x = 0 \\$

$\Rightarrow f(x) is continuous at x all x\epsilon R$

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