Question

GRAPHING FUNCTIONS Graph the function. $$f(x)=3 x-9$$

Short answer

The graph of the function \(f(x) = 3x - 9\) is a straight line that slopes upward from left to right, starting from the y-intercept point (-9).

Step-by-step solution

Identify the Slope and y-intercept

In our function \(f(x) = 3x - 9\), the coefficient of x is the slope of the function. Hence, the slope of the function is 3. The constant term in the function is our y-intercept, so the y-intercept is -9.

Draw the y-intercept

Start by making a mark at the point (0, -9) on the graph which is our y-intercept.

Use the Slope to Determine the Next Point

From the y-intercept, the slope of the line is rise over run. Our slope is 3 which we can consider as 3/1, so we rise up 3 units and run 1 unit to the right from our y-intercept to draw our line.

Draw the Line

Using a straight edge or ruler, draw a line that passes through the points located at (0, -9) and (1, -6). The resultant line is the graph of the function \(f(x) = 3x - 9\).