Understanding functions

What is a function?

• Any set of ordered pairs.

• Any graph of x and y values.

• A relation that maps every domain value to exactly one range value.

• A relation that maps every range value to exactly one domain values.

Does this picture represent a function?

• Function

• Non-Function

True or False: a function is a relationship where each input has exactly one output.

• True

• False

What makes a relation a function?

• Every input(x) has one output(y)

• Every output(y) has one input(x)

• All relations are functions

Is this mapping a function or not a function? 

• Function
• Not a Function

What is a function?

• A relation that maps every domain value to exactly one range value.

• A relation that maps every range value to exactly one domain value.

• Any set of ordered pairs.

• Any graph of x and y values.

Does the situation represent a function?

Each school bus driver is paired with 25 students to transport.

• Yes

• No

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Is the relationship in the table a function or not a function?

• Function
• Not a Function

Which table does NOT represent y as a function of x?

• Q

• R

• S

• T