If [tex]f(x)[/tex] is an even function, then [tex]f(x)=f(-x)[/tex]. In this case, [tex]f(6)=8=f(-6)[/tex].
This is because an even function is symmetric about the [tex]y-axis[/tex]. Hence the outputs of a negative x-value and a positive x-value are the same.
The correct option is the first option.
Since the graph is even, the outputs of a negative x-value and a positive x-value are the same.