Q. 1035.0( 1 Vote )

# State True or False for the statementsIf f is continuous on its domain D, then |f| is also continuous on D.

True

Given that, f is continuous on its domain D.

Let a be an arbitrary real number in D. Then f is continuous at a.

Now,

[ |f|(x) = |f(x)| ]

|f| is continuous at x=a.

Since a is an arbitrary point in D. Therefore |f| is continuous in D.

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