QuestionQuestion 9
This question has two parts. First, answer Part A. Then, answer Part B. Part A a. Find the related function for $-x+3=6$ . Then graph the related function on a separate sheet of paper. $f(x)=$
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Studdy Solution

STEP 1

1. We are given the equation $-x + 3 = 6$ .
2. We need to find the related function $f(x)$ .
3. The related function should be in the form of $f(x) = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
4. We will not graph the function here, but we will describe the steps to find the function.

STEP 2

1. Rearrange the given equation to solve for $x$ .
2. Express the equation in terms of $f(x)$ .

STEP 3

Rearrange the given equation to solve for $x$ .
Start with the equation: $-x + 3 = 6$
Subtract 3 from both sides: $-x = 6 - 3$ $-x = 3$
Multiply both sides by $-1$ to solve for $x$ : $x = -3$

STEP 4

Express the equation in terms of $f(x)$ .
Since $x = -3$ is a constant, the related function $f(x)$ is a horizontal line: $f(x) = -3$
This means that for any value of $x$ , $f(x)$ will always be $-3$ .
The related function is: \[ f(x) = -3 $

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