what is a rule for the function represented by (0, 2/19), (1, 1 2/19), (2, 4 2/19), (3, 9 2/19), (4, 16 2/19), and (5, 25 2/19)? Explain your reasoning

Question

anonymous · Answer

Notice
$$
f(0)=\frac 2 {19} = 0^2 +\frac 2 {19}\
f(1)=1+ \frac 2 {19} = 1^1 + \frac 2 {19}\
f(2)=4+ \frac 2 {19} = 2^2 + \frac 2 {19}\
f(3)=9+ \frac 2 {19} = 3^2 + \frac 2 {19}
$$
What can you conclude?

anonymous · Answer

$$
f(4) = 16 + \frac 2 {19} = 4^2 + \frac 2 {19}\
f(5) = 25 + \frac 2 {19} = 5^2+\frac 2 {19}
$$

anonymous · Answer

So
$$
f(x)= x^{?} + ? 
$$