Find Three Ordered Pair Solutions f(x)=-( square root of x)/3

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

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.

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

Simplify the numerator.

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

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

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

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

Simplify the expression.

Divide $0$ by $3$ .

$y = - 0$

Multiply $- 1$ by $0$ .

$y = 0$

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.

Any root of $1$ is $1$ .

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

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