Question

$f(n)=\{\begin{array}{ll}0& ,\text{ x =0}\\ x-3,& \text{x > 0}\end{array}$ The function $f(x)$ is

• A. increasing when $x\ge 0$
• B. strictly increasing when $x>0$
• C. Strictly increasing at $x=0$
• D. not continuous at $x=0$ and so it is not increasing when $x>0$

Answer 1

Answer: (B)

Given, $f(x)=\{\begin{array}{ll}0,& ,x=0\\ x-3,& x>0\end{array}$

is clear from the graph that $f(x)$ is strictly increasing when $x>0$.