SOL 8.15 Review (Domain, Range, Relation and Functions)

What is the DOMAIN of a relation?

• The origin

• The x-values

• The ordered pairs

• The y-values

What is the RANGE of a relation?

• The origin

• The x-values

• The ordered pairs

• The y-values

What is the DOMAIN of this relation?

 $\left(2,4\right)\left(-1,6\right)\ \left(0,\ -3\right)\ \left(-5,\ 4\right)\$  

•  $\left(2,4\right)\left(-1,6\right)\ \left(0,\ -3\right)\ \left(-5,\ 4\right)\$  

•  $\left\{-5,\ -1,\ 0,\ 2\right\}\$  

•  $\left\{-3,\ 4,\ 6\right\}\$  

• There is no domain 

What is the RANGE of this relation?

 $\left(2,4\right)\left(-1,6\right)\ \left(0,\ -3\right)\ \left(-5,\ 4\right)\$  

•  $\left(2,4\right)\left(-1,6\right)\ \left(0,\ -3\right)\ \left(-5,\ 4\right)\$  

•  $\left\{-5,\ -1,\ 0,\ 2\right\}\$  

•  $\left\{-3,\ 4,\ 6\right\}\$  

• There is no range 

What is the DOMAIN of this relation?

What is the RANGE of this relation?

What is the DOMAIN of this relation?

• $\left(-4,6\right)\ \left(8,7\right)\ \left(-6,-5\right)\ \left(2,-3\right)\ \left(5,0\right)$

• $\left\{-5,\ -3,\ 0,\ 6,\ 7\right\}\$

• $\left\{-6,\ -4,\ 2,\ 5,\ 8\right\}\$

• $\left\{-6,\ -5,\ -4,\ -3,\ 0,\ 2,\ 5,\ 6,\ 7,\ 8\right\}\$

What is the RANGE of this relation?

• $\left(-4,6\right)\ \left(8,7\right)\ \left(-6,-5\right)\ \left(2,-3\right)\ \left(5,0\right)$

• $\left\{-5,\ -3,\ 0,\ 6,\ 7\right\}\$

• $\left\{-6,\ -4,\ 2,\ 5,\ 8\right\}\$

• $\left\{-6,\ -5,\ -4,\ -3,\ 0,\ 2,\ 5,\ 6,\ 7,\ 8\right\}\$

What makes a relation a function?

• When it goes through the origin

• $\frac{change\ \ \ in\ \ \ y}{change\ \ \ in\ \ \ x}$

• All relations are functions

• When the x values do NOT repeat

Is this relation a function?

 $\left(2,4\right)\left(-1,6\right)\ \left(0,\ -3\right)\ \left(-5,\ 4\right)\$  

• Yes, it is a function 

• No, it is just a relation