Question attached as screenshot below, please help. I am happy to contribute as much as I can.

Given
[tex]f(0)=6[/tex]To find the absolute maximum value of f(x) in the interval [0,3].
Explanation:
It is given that,
[tex]f(0)=6[/tex]That implies,
[tex]\begin{gathered} f(0)=0+6 \\ \therefore f(x)=x+6 \end{gathered}[/tex]Hence, the absolute maximum of f(x) is,
[tex]\begin{gathered} f(2)=2+6 \\ =8 \end{gathered}[/tex]