Question

Let $f:R\to R$ be defined by $f\left(x\right)=\{\begin{array}{cc}x+2& x\le -1\\ x^2& -1<x<1\\ 2-x& x\ge 1\end{array}$ then the value of $f(-1.75)+f\left(0.5\right)+f\left(1.5\right)$ is

• A. $0$
• B. $2$
• C. $1$
• D. $-1$

Answer 1

The correct option is C $1$

$f\left(x\right)=\{\begin{array}{cc}x+2& x\le -1\\ x^2& -1<x<1\\ 2-x& x\ge 1\end{array}$
$f(-1\cdot 75)=-1\cdot 75+2$
$=\cdot 25$
$f(0\cdot 5)=0\cdot 5^2$
$=0\cdot 25$
$f(1\cdot 5)=2-(1\cdot 5)$
$=0\cdot 5$
$f(-1\cdot 75)+f(0\cdot 5)+f(1\cdot 5)=1$