Chapter 8.7, Problem 6E

To determine

To graph:

The given function.

Answer to Problem 6E

The graph of our given function would look like:

Explanation of Solution

Given:

A function: $f(x)=-x+3$ .

Concept used:

The slope-intercept form of equation is $y=mx+b$ , where m represents slope of line and b represents the y -intercept.

Calculation:

Upon looking at our function, we can see that it is in slope-intercept form. The slope of the line is $-1$ and the y -intercept is $3$ .

We will start from drawing the y- intercept of our given line. The y -intercept of our given line is $3$ , so we will start our line from $(0,3)$ .

Since slope of our given line is $-1$ , so rise is $-1$ and run is $1$ .

Upon graphing our given function, we will get our required graph as shown below: