Consider the following functions: 1. $f(x)=e^x$, where $x \gt 0$ 2. $g(x)=|x-3|$ Which of the above functions is/are continuous?

• A

  1 only
• B

  2 only
• Correct answer
  C

  Both 1 and 2
• D

  Neither 1 nor 2

Solution

The simplest way to check continuity is by graphical method.
We see from the graph that both functions are continuous function.

Hence, the correct answer is option: 'C'.