The graph of f left-parenthesis x right-parenthesis equals start root x end root is graphed on the coordinate plane. The graph starts at the origin and increases gradually to infinity.

Question

Question
Use the graph to answer the question.

Which type of parent function is graphed on the coordinate plane?
(1 point)
Responses

a parent even-degree power function
a parent even-degree power function

a parent odd-degree power function
a parent odd-degree power function

a parent even-degree root function
a parent even-degree root function

a parent odd-degree root function

Answer 1

The function \( f(x) = \sqrt{x} \) represents a root function. Specifically, it is a parent odd-degree root function because it is the square root (which is also considered as the 1/2 power, an even root in terms of degree). Since the graph of this function starts at the origin and increases gradually without any negative x-values, it fits the characteristics of an odd-degree root function.

Therefore, the correct response is:

a parent odd-degree root function.