Let f(x) = |x| and g(x) = |x^3|, then: - Vidyadip

MCQ

Let $f(x) = |x|$ and $g(x) = |x^3|,$ then:

✓
$f(x)$ and $g(x)$ both are continuous at $x = 0$
B
$f(x)$ and $g(x)$ both are differentiable at $x = 0$
C
$f(x)$ is differentiable but $g(x)$ is not differentiable at $x = 0$
D
$f(x)$ and $g(x)$ both are not differentiable at $x = 0$

✓

Answer

Correct option: A.

$f(x)$ and $g(x)$ both are continuous at $x = 0$

Absolute value function is continuous on $R.$

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