Graph the linear function f(x)=3−6x.
how do I find the ordered pairs
f(x)=3−6x is the same as y = 3 - 6x
pick an x, any x
I will pick x = 2, then y = 3- 6(2) = -9
I will pick x = 0 , then y = 3 - 6(0) = 3
So I have to ordered pairs (2,-9), and (0,3)
draw your line
To graph the linear function f(x) = 3 - 6x, we can follow these steps:
Step 1: Determine the range of x-values that you want to consider for the graph. For example, you might choose a range of -5 to 5, which means we will plot points for x-values from -5 to 5.
Step 2: Substitute different values of x from the chosen range into the function to calculate the corresponding y-values. For example, if we substitute x = -5 into the function, we get y = 3 - 6(-5) = 33. Similarly, by substituting x = -4, we get y = 3 - 6(-4) = 27. Continue this process for other chosen values of x.
Step 3: Plot the points (x, y) that you calculated in Step 2 on a Cartesian coordinate system. For example, if you have calculated the points (-5, 33), (-4, 27), (-3, 21), and so on, plot these points on the graph.
Step 4: Connect the plotted points with a straight line. Since the function is linear, the graph should be a straight line passing through the plotted points.
By following these steps, you should be able to graph the linear function f(x) = 3 - 6x accurately.
Get out some graph paper.
Find two ordered pairs, plot them and join with a straight line
(to check, pick a third pair, plot it, it should lie on the same line)