Graph Using a Table of Values y=1/2 square root of x

$y = \frac{1}{2} \sqrt{x}$

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = \frac{1}{2} \cdot \sqrt{- 2}$

Simplify $\frac{1}{2} \cdot \sqrt{- 2}$ .

Remove parentheses.

$y = \frac{1}{2} \cdot \sqrt{- 2}$

Rewrite $- 2$ as $- 1 (2)$ .

$y = \frac{1}{2} \cdot \sqrt{- 1 (2)}$

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

$y = \frac{1}{2} \cdot (\sqrt{- 1} \cdot \sqrt{2})$

Rewrite $\sqrt{- 1}$ as $i$ .

$y = \frac{1}{2} \cdot (i \cdot \sqrt{2})$

Multiply $\frac{1}{2} (i \sqrt{2})$ .

Combine $i$ and $\frac{1}{2}$ .

$y = \frac{i}{2} \sqrt{2}$

Combine $\frac{i}{2}$ and $\sqrt{2}$ .

$y = \frac{i \sqrt{2}}{2}$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = \frac{1}{2} \cdot \sqrt{- 1}$

Simplify $\frac{1}{2} \cdot \sqrt{- 1}$ .

Remove parentheses.

$y = \frac{1}{2} \cdot \sqrt{- 1}$

Rewrite $\sqrt{- 1}$ as $i$ .

$y = \frac{1}{2} \cdot i$

Combine $\frac{1}{2}$ and $i$ .

$y = \frac{i}{2}$

Substitute $0$ for $x$ and find the result for $y$ .

$y = \frac{1}{2} \cdot \sqrt{0}$

Simplify $\frac{1}{2} \cdot \sqrt{0}$ .

Remove parentheses.

$y = \frac{1}{2} \cdot \sqrt{0}$

Rewrite $0$ as $0^{2}$ .

$y = \frac{1}{2} \cdot \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$y = \frac{1}{2} \cdot 0$

Multiply $\frac{1}{2}$ by $0$ .

$y = 0$

Substitute $1$ for $x$ and find the result for $y$ .

$y = \frac{1}{2} \cdot \sqrt{1}$

Simplify $\frac{1}{2} \cdot \sqrt{1}$ .

Remove parentheses.

$y = \frac{1}{2} \cdot \sqrt{1}$

Any root of $1$ is $1$ .

$y = \frac{1}{2} \cdot 1$

Multiply $\frac{1}{2}$ by $1$ .

$y = \frac{1}{2}$

Substitute $2$ for $x$ and find the result for $y$ .

$y = \frac{1}{2} \cdot \sqrt{2}$

Simplify $\frac{1}{2} \cdot \sqrt{2}$ .

Remove parentheses.

$y = \frac{1}{2} \cdot \sqrt{2}$

Combine $\frac{1}{2}$ and $\sqrt{2}$ .

$y = \frac{\sqrt{2}}{2}$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & \frac{i \sqrt{2}}{2} \\ - 1 & \frac{i}{2} \\ 0 & 0 \\ 1 & \frac{1}{2} \\ 2 & \frac{\sqrt{2}}{2} \end{array}$

Graph Using a Table of Values y=1/2 square root of x

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