Find Three Ordered Pair Solutions y=f(1/3x)

$y = f (\frac{1}{3} x)$

Step 1

Solve the equation for $y$ .

Remove parentheses.

$y = f (\frac{1}{3}) \cdot x$

Simplify $f (\frac{1}{3}) \cdot x$ .

Combine $f$ and $\frac{1}{3}$ .

$y = \frac{f}{3} \cdot x$

Combine $\frac{f}{3}$ and $x$ .

$y = \frac{f x}{3}$

Step 2

Choose any values for $x$ and $y$ that are in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ and $1$ to substitute for $z$ .

Remove parentheses.

$y = \frac{f (0)}{3}$

Simplify $\frac{f (0)}{3}$ .

Cancel the common factor of $0$ and $3$ .

Factor $3$ out of $f (0)$ .

$y = \frac{3 (f \cdot (0))}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = \frac{3 (f \cdot (0))}{3 (1)}$

Cancel the common factor.

$y = \frac{3 (f \cdot (0))}{3 \cdot 1}$

Rewrite the expression.

$y = \frac{f \cdot (0)}{1}$

Divide $f \cdot (0)$ by $1$ .

$y = f \cdot (0)$

Multiply $f$ by $0$ .

$y = 0$

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

$(0, 0, 1)$

Step 4

Choose $1$ to substitute in for $x$ and $2$ to substitute for $z$ .

Remove parentheses.

$y = \frac{f (1)}{3}$

Multiply $f$ by $1$ .

$y = \frac{f}{3}$

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

$(1, \frac{f}{3}, 2)$

Step 5

Choose $2$ to substitute in for $x$ and $3$ to substitute for $z$ .

Remove parentheses.

$y = \frac{f (2)}{3}$

Move $2$ to the left of $f$ .

$y = \frac{2 f}{3}$

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

$(2, \frac{2 f}{3}, 3)$

Step 6

These are three possible solutions to the equation.

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

Find Three Ordered Pair Solutions y=f(1/3x)

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