| 1) |
Graph y = x^3 (this is x cubed -
the "^" is above the "6" on your keyboard) To graph this function, hit the NEW FUNCTION
button, type x^3 in the white box and hit ENTER. |
| 2) |
Hit the ZOOM-OUT button and, when
you have about 10 squares in every direction, hit STOP. |
|
To graph another function, hit the
DONE button, then select NEW FUNCTION and proceed as before. |
| 3) |
Now graph y = - x^3. What effect
did the negative sign have on the graph? |
| 4) |
Delete your second function by
clicking on it's button and selecting DELETE. |
| 5) |
Now graph y = x^3 - 9x. (You'll
have to enter the 9x like 9*x.) What effect did the "- 9x" have on the graph? (You may
have to zoom out to see what is happening! Remember, this is a continuous function, so you
should see mountains and valleys.)
Find the zeros of this function by
factoring. Does the graph match your work?
(answer) |
| 6) |
Delete your first function by
clicking on it's button and selecting DELETE. |
| 7) |
Now graph y = x^3 - 9x+5. What
effect did the "+5" have on the graph?. |
| 8) |
Graph y = -
(x^3 - 9x+5). What effect did the negative have on the graph? (Might you need to go back
to change your answer to part 3?) |
| 9) |
Can you guess what the graph of y
= x^3 -9x -6 will look like? Graph it to see. |
| 10) |
Based on your observations on step
5, can you guess what the graph of y = x^s - 25x would look like? Graph it to see. |
