72 Activities
6. Press r. Again, use the cursor keys to compare the values of the
two graphed functions, Y3 and Y4.

Problem 2

Explore the functions defined by
,,and

Procedure 2

1. Press o. Turn off all functions and stat plots. Use a list to define
these three functions simultaneously. Store the function in Y5.
2. Press q 6 to select 6:ZStandard.
3. Press r. Notice that the functions appear identical, only shifted
vertically by a constant.
4. Press o. Enter the numerical derivative of Y5 in Y6.
5. Press r. Notice that although the three graphs defined by Y5 are
different, they share the same derivative.

yt

2td
2
x
∫

=t2td

0
x
∫t2td
2
x
∫