Answer:
[tex]\left \{ (-4, 2), ( -2, 1), (2, 0), (4, 5) \right \}[/tex]
Step-by-step explanation:
Given: Domain of function is [tex]\left \{ -4,-2,2,4 \right \}[/tex]
To find: the function that has domain [tex]\left \{ -4,-2,2,4 \right \}[/tex]
Solution:
A function is a relation in which every element of the domain has a unique image in the co-domain.
For x = 2, domain is [tex]\left \{2 \right \}\neq \left \{ -4,-2,2,4 \right \}[/tex]
For a line that passes through [tex](-2,-2)\,,\,(0,-3)[/tex],
domain must have 0 but [tex]0\notin \left \{ -4,-2,2,4 \right \}[/tex]
Domain of [tex]\left \{ (-4, 2), ( -2, 1), (2, 0), (4, 5) \right \}[/tex] is [tex]\left \{ -4,-2,2,4 \right \}[/tex]
Domain of [tex]\left \{ (1, -4), (0, -2), (2, 2), (6, 4) \right \}[/tex] is [tex]\left \{ 1,0,2,6 \right \} \neq \left \{ -4,-2,2,4 \right \}[/tex]
So, answer is [tex]\left \{ (-4, 2), ( -2, 1), (2, 0), (4, 5) \right \}[/tex]
