2. Summary
• In this tutorial, you’ll explore the graphs of
Linear Functions. The steps in the tutorial
include:
– Creating a Graph Window.
– Graphing functions of these forms:
y = mx
y = mx + b
3. Create a Graph Window
Click on the +tool to activate this menu.
6. Graph the Function
This is the basic graph of a Linear Function. Its slope is 1 and its
y-intercept is 0.
7. Edit the Function
Click on the + sign at the upper right to bring up the
Function Entry line. Then press the up arrow. You’ll see
f1(x).
Click
here.
Then
Click
here.
8. Edit the Function
Change the function to the one shown above. Then
press Enter. The orientation of the graph changes.
f1(x) = -x
9. Edit the Function
Now change the function to the one shown above.
Press Enter. A greater slope value leads to a steeper
graph.
f1(x) = 2x
10. Edit the Function
Now change the function to the one shown above.
Press Enter. A lesser value for slope leads to a less steep
line.
f1(x) =
1
2
x
11. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how the y-intercept displaces the
graph vertically.
f1(x) = x +1
12. Edit the Function
Now change the function to the one shown above. Press
Enter. Note how the y-intercept displaces the graph
vertically.
f1(x) = x -1
13. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how the values for m and b affect the
graph of the function.
f1(x) = -3x +1