Answer:
The function of the graph is y = f(x) = x².
Step-by-step explanation:
From the graph we have
At x = 0, y = 0
Therefore f(x) = ax + c where c = 0
At x = 1 y = 1
At x = 4 y = 2
At x = 9 y = 3
At x = 16 y = 4
Therefore the graph is of the form, y= f(x) = x²
That is the graph can be plotted with a slope given by dy/dx = 2x an an intercept of c = 0.
Values of the graph are as follows
x y
1 1
2 √2
3 √3
4 2
5 √5
6 √6
7 √7
8 2√2
9 3.
