High School

The graph of a function is shown below.

Which family could this function belong

to?

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

Answer :

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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