TI-Nspire App Tutorial

Graphs of Linear Functions

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

Create a Graph Window

Click on the + tool to activate this menu.

Input the Function

By default the keyboard is active.

Input the Function

Input the function shown. Press Enter.

f1(x) = x

Graph the Function

This is the basic graph of a Linear Function. Its slope is 1 and its y-intercept is 0.

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.

Edit the Function

Change the function to the one shown above. Then press Enter. The orientation of the graph changes.

f1(x) = -x

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

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

2x

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

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

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