Question

Suppose $f\left(x\right)$ is piece wise defined by $f\left(x\right)=\{\begin{array}{cc}2& ifx\in [-3,0)\\ e^x& ifx\in [0,2]\\ 3x-2& ifx\in (2,\infty )\end{array}$
What is $f\left(2\right)$?

• A. $e^3$
• B. $2$
• C. $e^2$
• D. None of these

Answer 1

The correct option is C $e^2$

2nd domain is closed including 2.

Hence $f\left(2\right)=e^2$