ANSWER and EXPLANATION
We want to describe the parent function of a square root function.
The parent function of a function is the simplest form of the function.
Hence, the parent function of a square root function is:
[tex]y=\sqrt[]{x}[/tex]
We can create a table of values using values of x to solve for y.
Let us solve y for x = 1, 4, 9, 16, 25
Let us identify the domain and range of the function.
The domain is the set of all x values (input values) of a function while the range is the set of all y values (output values) of the function.
Since we cannot find the square root of negative numbers, it implies that the domain of the function is:
[tex]D\colon(0,\infty)[/tex]
Also, because we are considering a domain of only positive numbers, the range of the function contains only positive numbers (and 0), hence, the range of the function is:
[tex]R\colon(0,\infty)[/tex]
Let us now plot the graph of the function using the values obtained above:
Note: The graph of a square root function does not have any asymptotes.
