Question

y=√x Can you please give a graph use color for function, asymptotes, etc.A short table of easy pointsThe domain and rangePlease identify and label the asymptotes (Please work this as if you didn’t have a calculator)

Answer 1

SQUARE ROOT FUNCTION

Given the parent function:

$f(x)=\sqrt[]{x}$

Table

$\begin{gathered} \text{When x}=0,f(x)=\sqrt[]{0}=0\implies(0,0) \\ \text{When x}=1,f(x)=\sqrt[]{1}=1\implies(1,1) \\ \text{When x}=4,f(x)=\sqrt[]{4}=2\implies(4,2) \\ \text{When x}=9,f(x)=\sqrt[]{9}=3\implies(9,3) \\ \text{When x}=16,f(x)=\sqrt[]{16}=4\implies(16,4) \end{gathered}$

First, we prepare a table of easy points:

Graph

The graph of the function is attached below:

Domain and Range

As can be seen from the graph, the domain and range of the square root parent function are:

• Domain: [0, ∞)

,

• Range: [0, ∞)

Asymptotes

The square root parent function has NO ASYMPTOTES.