Question

Can you please help me make the square root parent function (It just needs to be the basic function for that)

Answer 1

ANSWER and Step-by-step 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:

`y=\sqrt[]{x}`

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:

`D\colon(0,\infty)`

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:

`R\colon(0,\infty)`

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.