Relations and Functions

List the ordered pairs

• (1,3), (2,6), (3,9), (4,12)

• (3,1), (6,2), (9,3), (12,4)

• Input and Output

• Output and Input

List the ordered pairs

• Input and Output

• (0,12), (2,10), (4,8), (6,6)

• (12,0), (10,2), (8,4), (6,6)

• (6,6)

Determine if the relation is a function

• Not a function, each input has more than one output

• Yes it is a function, because each input has exactly on output

• Not a function, input is equal to output

• Yes it is a function, -1/2 is a fraction of 2

Is the relation a function?

• Yes, each input has one output

• No, each input has more than one output

• No, the cost of the movies is different

• Yes, each output has one input

• Function
• Not a Function

Look at the following diagram!

The domain of that relation is…

• $K=\left\{1,2,3,4\right\}$

• $K=\left\{1,2,3,4,5\right\}$

• $L=\left\{2,4,6,8\right\}$

• $L=\left\{0,2,4,6,8\right\}$

Look at the following diagram!

The range of that relation is…

• $L=\left\{0,2,4,6,8\right\}$

• $L=\left\{2,4,6,8\right\}$

• $R=\left\{0,2,4,6,8\right\}$

• $R=\left\{2,4,6,8\right\}$

Which graph represents a function?

• 
• 
• 
• 

Which of the relations below is a function?

• {(2, 3), (3, 4), (5, 1), (2, 4)}

• {(2, 3), (3, 4), (6, 2), (7, 3)}

• {(2, 3), ( 3, 4), (6, 2), (3, 3)}

If $f(x)=7x-4$ , find  $f\left(3\right)$ .

•  $f\left(3\right)=-4$ 

•  $f\left(3\right)=-18$ 

•  $f\left(3\right)=17$ 

•  $f\left(3\right)=-25$