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

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.