Answer: A is correct.
Explanation:
We can see f(x) is piece wise function and break at point x=2
When x<2
f(x) is parabolic whose y-intercept (0,4)
So, [tex]f(x)=x^2+4[/tex]
When [tex]x\geq2[/tex]
f(x) is linear with slope 1
So, [tex]f(x)=x+4[/tex]
A is correct option according to given graph.
[tex]f(x)=\left\{\begin{matrix}x^2+4 & \ \ \ \ \ \ \ x<2\\ x+2 & \ \ \ \ \ \ \ \ x\geq 2\end{matrix}\right.[/tex]
