Question

The number of points of discontinuity of f defined by f(x) = |x| – |x + 1| is ______.

Answer 1

The number of points of discontinuity of f defined by f(x) = |x| – |x + 1| is 0.

Explanation:

f(x) = |x| – |x + 1|

`f(x) = {{:(1",", x < -1),(-2x - 1",", -1 ≤ x < 0),(-1",", x > 0):}`

Here, at x = 0, –1 f(x) is continuous.

Hence, there is no point of discontinuity.