Question

The graph shown is the graph of which function?

Answer 1

square root function. f(x)= square root x x> or = to 0

Answer 2

The function of the graph is y = f(x) = x².

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.