Algebra Examples

$f (x) = - \frac{\sqrt{x}}{3}$

Step 1

Write $f (x) = - \frac{\sqrt{x}}{3}$ as an equation.

$y = - \frac{\sqrt{x}}{3}$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Step 3.1

Simplify $- \frac{\sqrt{0}}{3}$ .

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Step 3.1.1

Simplify the numerator.

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Step 3.1.1.1

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

$y = - \frac{\sqrt{0^{2}}}{3}$

Step 3.1.1.2

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

$y = - \frac{0}{3}$

Step 3.1.2

Simplify the expression.

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Step 3.1.2.1

Divide $0$ by $3$ .

$y = - 0$

Step 3.1.2.2

Multiply $- 1$ by $0$ .

$y = 0$

Step 3.2

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Any root of $1$ is $1$ .

$y = - \frac{1}{3}$

Step 4.2

Use the $x$ and $y$ values to form the ordered pair.

$(1, - \frac{1}{3})$

Step 5

Use the $x$ and $y$ values to form the ordered pair.

$(2,)$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{1}{3}), (2,)$

Step 7