Answer: Last option.
Step-by-step explanation:
We know that input values of a function are the values of the variable "x" and output values of a function are the values of the variable "y".
By definition, in functions each input value have one and only one output value.
Then, find [tex]f(6)[/tex] you can see that the input value is [tex]x=6[/tex] and you need to find the corresponding ouput value (or "y")
You can observe in the figure attached that the value of "y" for [tex]x=6[/tex] is [tex]y=w[/tex], obtaining the point (6,2)
Therefore:
[tex]f(6)=2[/tex]
This matches with the last option.