Answer: [tex]f(x)=3x[/tex]
Step-by-step explanation:
It is important to remember that the input values are the values of [tex]x[/tex] and the output values are the values of [tex]y[/tex] ([tex]f(x)=y[/tex]).
Now, in order to solve the exercise you must analize the table provided. You can observe that each output value is obtained by multiplying the corresponding input value by 3:
[tex]3*2=6\\3*3=9\\3*4=12\\3*5=15[/tex]
Therefore, knowing this, you can determine that the function rule for the given table is:
[tex]f(x)=3x[/tex]
