1) The document describes mixing a polynomial function with a person's birthday date of August 18, 2006. 2) A polynomial with the form f(x)=1x8+8x7+8x5+2x4+6 is created from the birthday numbers 18082006. 3) Analysis of the polynomial finds the x-intercepts, y-intercept, that the graph opens upward with an increasing trend, and sample points.

1. Birthday
Polynomial
Project
By: Nathanael

2. Recently,
we learnt about the
Polynomial
Functions
𝑓 𝑥 = 𝑥3+2x-1

3. And
We have an
INCREDIBLE
idea

4. How about
mixing
the functions
and my birthday date
together?
🤯

5. First,
Write down my birthday date.
18 - 08 - 2006

6. Second,
write it in order
18 - 08 - 2006

7. 18 - 08 - 2006
Date Month Year
Second,
write it in order

8. 18082006
Second,
write it in order

9. Third,
Create a polynomial function
f(x)=1x8+8x7+8x5+2x4+6

10. Fourth,
Go to the
desmos

11. Fifth
Analyzation
Find out:
a. x-intercept
b. y-intercept
c. end behaviour
d. points

12. a. x-intercept
(-8.1 1 8,0)
(-0.882,0)
Fifth
Analyzation

13. b. y-intercept
(0,6)
Fifth
Analyzation

14. c. End behaviour
The graph
opens upward
and has an
increasing trend
Fifth
Analyzation

15. For the
End Behaviour…
Why it is
“open upward ”
and
“increasing trend”?
🧐

16. The overall trend of this function is
that it
Opens Up
In part, it is an
odd polynomial
with
positive leading coefficients

17. Fifth
Analyzation
d. Points
Showing in the
T-chart
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
y 0 1 2 3 4 5 6 7 8 9
x -0.882
and
-8.118
-0.855 -0.822 -0.786 -0.734 -0.656 0 0.593 0.673 0.723

18. Thank You