Implicit and Explicit Equations

Classify the equation as Implicit or Explicit.
 $y=x^3+6x-7$  

• Implicit

• Explicit

• Neither

• Both

Classify the equation as Implicit or Explicit.
 $\left(x-2\right)^2\ +\ \left(y+8\right)^2=7$  

• Implicit

• Explicit

• Neither

• Both

Classify the equation as Implicit or Explicit.
 $3x-5y=10$  

• Implicit

• Explicit

• Neither

• Both

Find two explicitly-defined functions to describe the relation given by  $\left|2y\right|-6x=\ 14$  

•  $y=7+3x$  
   $y=-7-3x$  
  

•  $y\ =7+6x$  
   $y\ =\ 7-6x$  
  

•  $y\ =\ 7-3x$  
   $y\ =\ 3x-7$  
  

•  $y\ =\ 14+3x$  
   $y=-14-3x$  
  

Find two explicitly-defined functions to describe the relation given by  $x^2+y^2=100$  

•  $y=\sqrt{100-x^2}$  
   $y=-\sqrt{100-x^2}$  
  

•  $y\ =\sqrt{100-x^2}$  
   $y\ =\ \sqrt{-100+x^2}$  
  

•  $y\ =10\ -x$  
   $y\ =\ 10+x$  
  

•  $y\ =\ 10\ -\ x$  
   $y=-10\ +\ x$  
  

Find two explicitly-defined functions to describe the relation given by  $x^2\ +y^2+2y=8$  

•  $y=\sqrt{9-x^2}-1$  
   $y=-\sqrt{9-x^2}-1$  
  

•  $y\ =\sqrt{9-x^2}-1$  
   $y\ =\ -\sqrt{9-x^2}+1$  
  

•  $y\ =2-x$  
   $y\ =\ -4+x$  
  

•  $y\ =\ \sqrt{8}\ -x-17$  
   $y=-\sqrt{8}\ +\ x-1$  
  

Find two explicitly-defined functions to describe the relation given by  $3x-y^2=7$  

•  $y=\sqrt{3x-7}$  
   $y=-\sqrt{3x-7}$  
  

•  $y\ =\sqrt{3x-7}$  
   $y\ =\ \sqrt{7-3x}$  
  

•  $y\ =\sqrt{3x}-\sqrt{7}$  
   $y\ =\ -\sqrt{3x}+\sqrt{7}$  
  

•  $y\ =\ \sqrt{3x}\ -\sqrt{7}$  
   $y=-\sqrt{3x}\ -\sqrt{7}$  
  

Find two explicitly-defined functions to describe the relation given by  $2x+\left|y-3\right|=5$  

•  $y=2-2x$  
   $y=2x-8$  
  

•  $y\ =2-2x$  
   $y\ =\ 2x-2$  
  

•  $y\ =8-2x$  
   $y\ =\ 2x-2$  
  

•  $y\ =\ 2-2x$  
   $y=2+2x$