Adv Math: Piecewise Defined Functions

Adv Math: Piecewise Defined Functions

Multiple Choice

In the image, in what domain is  $f\left(x\right)=x?$  

•  $x\le-3$  

•  $x<3$  

•  $-3\le x\le1$  

•  $x>1$  

Multiple Choice

Which piecewise function corresponds to this graph?

• $f\left(x\right)\left\{x\ \ \ \ if\ \ \ x<4;\ -x+1\ \ \ \ if\ \ \ x\ge4\right\}$

• $f\left(x\right)=\left\{x\ \ \ \ \ if\ \ \ \ x\le4;\ \ \ -x+1\ \ \ \ if\ x\ge4\right\}$

• $f\left(x\right)=\left\{-x+1\ \ \ \ if\ \ \ x<4;\ \ \ \ x\ \ \ \ if\ \ \ x\ge4\right\}$

Multiple Choice

Determine which is the graph of  $f\left(x\right)=\left\{3x+2\right\}$  if  $x<5$   and  $f\left(x\right)=\left\{-2x-2\right\}$  if  $x\ge5$