If f(x)=|x|+|x-2|, then - Vidyadip

MCQ

If $f(x)=|x|+|x-2|$, then

A
f(x) is continuous at x = 0 but not at x = 2
B
f(x) is continuous at x = 0 and at x = 2
C
f(x) is continuous at x = - 2 but not at x = 0
D
f(x) is continuous at x = 2 but not at x=0

✓

Answer

(b) $f(x)$ is continuous at $x=0$ and at $x=2$
Explanation: $f ( x )$ is continuous at $x =0$ and at $x =2$

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