Question

Which of the following functions is/are continuous everywhere?

• A. $\sin x$
• B. $\tan x$
• C. $|x|$
• D. $a^x,\text{where}a>0$
• E. Polynomial function

Answer 1

Answer: (A), (C), (D), (E)

The correct options are
A $\sin x$
C $|x|$
D $a^x,\text{where}a>0$
E Polynomial function

The functions sin x, |x|, $a^x,a>0$ and polynomial function are continuous everywhere.
tan x is continuous only in its domain that is $R-\left\{\right(2n+1)\frac{\pi }{2}:n\in Z\}$