Question

Suppose $f\left(x\right)$ is piece wise defined by $f\left(x\right)=\{\begin{array}{cc}x+1& ifx\in (-\infty ,2)\\ x+3& ifx\in [2,\infty )\end{array}$
What is $f\left(10\right)$?

• A. $13$
• B. $12$
• C. $24$
• D. $11$

Answer 1

The correct option is A $13$

$f\left(x\right)=\{\begin{array}{cc}x+1& ifx\in (-\infty ,2)\\ x+3& ifx\in [2,\infty )\end{array}$

When $x=10$

$i.e.xϵ[2,\infty )$

$f\left(x\right)=x+3$

$f\left(10\right)=10+3=13$