Question

What is the domain of this discrete function?

{ (1,9)
, (2,7)
, (4,3)
, (5,1)
, (7,−3)
}

(1 point)
Responses

{x|1≤x≤7}
start set x such that 1 is less than or equal to x comma x is less than or equal to 7 end set

​{x|x={−3,1,3,7,9}}
start set x such that x is equal to negative 3 comma 1 comma 3 comma 7 comma 9 end set

{x|−3≤x≤9}
start set x such that negative 3 is less than or equal to x comma x is less than or equal to 9 end set

{​x|x={1,2,4,5,7}}

Answer 1

The domain of a discrete function is the set of all input values (the first elements of each ordered pair) in the function.

For the given set of ordered pairs:

{ (1,9), (2,7), (4,3), (5,1), (7,−3) }

The input values (x-values) are 1, 2, 4, 5, and 7.

Therefore, the domain is:

{ x | x = {1, 2, 4, 5, 7} }

So the correct response is:

{​x | x = {1, 2, 4, 5, 7}}