Function which represents the given graph is [tex]y = x^{2} + 4, x < 2[/tex] and [tex]y = -x+4 , x\geq 2[/tex].
" Graph is defined as the representation of coordinates x and y relation on the coordinate plane."
According to the question,
As per the graph,
Function represented by the graph is
[tex]y= x^{2} +4[/tex] is representing graph of parabola
[tex]y = -x +4[/tex] is representing graph of line.
From the graph of parabola in the first coordinate we can observe,
open interval is given for [tex]x < 2[/tex]
Therefore,
[tex]y = x^{2} + 4, x < 2[/tex]
For line close interval [tex]x \geq 2[/tex]
Therefore,
[tex]y = -x+4 , x\geq 2[/tex]
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ3
