Find Three Ordered Pair Solutions u(x)=-(7 sixth root of x)/4

$u (x) = - \frac{7 \sqrt[6]{x}}{4}$

Step 1

Write $u (x) = - \frac{7 \sqrt[6]{x}}{4}$ as an equation.

$y = - \frac{7 \sqrt[6]{x}}{4}$

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 $- \frac{7 \sqrt[6]{0}}{4}$ .

Simplify the numerator.

Rewrite $0$ as $0^{6}$ .

$y = - \frac{7 \sqrt[6]{0^{6}}}{4}$

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

$y = - \frac{7 \cdot 0}{4}$

Simplify the expression.

Multiply $7$ by $0$ .

$y = - \frac{0}{4}$

Divide $0$ by $4$ .

$y = - 0$

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.

Simplify $- \frac{7 \sqrt[6]{1}}{4}$ .

Any root of $1$ is $1$ .

$y = - \frac{7 \cdot 1}{4}$

Multiply $7$ by $1$ .

$y = - \frac{7}{4}$

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

$(1, - \frac{7}{4})$

Step 5

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

$(2,)$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{7}{4}), (2,)$

Step 7