Name: _________________ Date: ___________ Period: _______
Boogie with Polynomial End Behaviors
Directions: Help the Stick-Boogie-Master choreograph their next dance. Given the polynomial function draw the left arm as the left
tail and the right arm as the right tail of the polynomial.
Step 1:
Step 2:
f ( x)  5 x  2 x  3 x  4
5
(a): EVEN or ODD
(b): positive or Negative
Step 4:
f ( x)   x  3x  5
5
(a): EVEN or ODD
(b): positive or Negative
Step 5:
Step 6:
f ( x)  9 x  3 x  2 x  1
Step 7:
f ( x)  x  2 x  6 x
8
(a): EVEN or ODD
(b): positive or Negative
3
6
2
(a): EVEN or ODD
(b): positive or Negative
f ( x)  4 x3  3x 2  1
(a): EVEN or ODD
(b): positive or Negative
f ( x)  4 x  2 x  x  1
7
Step 3:
4
3
4
f ( x)  3 x 5  2 x 4  9
(a): EVEN or ODD
(b): positive or Negative
(a): EVEN or ODD
(b): positive or Negative
Step 8:
Step 9:
f ( x)   x  4 x  2 x  1
3
2
(a): EVEN or ODD
(b): positive or Negative
f ( x)  2 x 7  6 x 5  2 x 2  1
(a): EVEN or ODD
(b): positive or Negative