The graph of a function is shown below.
Which family could this function belong
to?

The graph of a function shown below belongs to the square root family.
Option C is the correct answer.
We have,
The square root function is defined for x ≥ 0 since the square root of a negative number is not a real number.
The graph starts at the origin (0, 0) and extends to the right in the positive x-direction.
As x increases, the corresponding y-values increase, but at a decreasing rate.
The graph of the square root function y = √x is given below.
It is similar to the graph given.
Thus,
The graph of a function shown below belongs to the square root family.
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