Jerome is constructing a table of values that satisfies the definition of a function.

Which number(s) can be placed in the empty cell so that the table of values

satisfies the definition of a function?

A.) -5

B.) -1

C.) 0

D.) 2

E.) 11

F.) 17

satisfies the definition of a function?

A.) -5

B.) -1

C.) 0

D.) 2

E.) 11

F.) 17

The

Graphically, the

and

The following numbers could satisfy the definition of a function:

The following numbers would

B.) -1 because the input -1 already pairs with the output 5

C.) 0 because the input 0 already pairs with the output -9

E.) 11 because the input 11 already pairs with the output -1

F.) 17 because the input 17 already pairs with the output 5

__states that__**definition of a function****each input can be paired with only one specific output.**In other words each x value can only match up with one y-value and not 2 or more different y-values.Graphically, the

**is used by passing a vertical line through the graph of the function,**__vertical line test__and

**if the vertical line intersects the graph in more than one point, then it is**__not__a function.The following numbers could satisfy the definition of a function:

**A.) -5 and D.) 2**The following numbers would

**satisfy the definition of a function:**__not__B.) -1 because the input -1 already pairs with the output 5

C.) 0 because the input 0 already pairs with the output -9

E.) 11 because the input 11 already pairs with the output -1

F.) 17 because the input 17 already pairs with the output 5

*- Algebra House*