Asymptote: A line that never touches a graph, it gets infinitely close, but never actually touches the graph
Euler’s Identity:
ei*π + 1 = 0
Conjugate:
The sign in between the terms is swapped with the opposite
Ex.
3 + 2x = 3 – 2x
3i – 3 = 3i + 3
Leading Coefficient (1.c):
The value of the x with the highest power
Ex.
5x4 + x3 + 6x2 + 9x – 10
1.c = 5, because of the five in front of x4
Extraneous solution (Very important):
A solution that doesn’t work in the original equation even though you might have gotten it
Ex.
1⁄x-4
x = 4
4 – 4 is 0, and you can’t divide by 0, so 4 is an extraneous solution aka one that doesn’t work
Cool rules of 0
00 = 1:
| 11 = | 1 | 0.40.4 = | 0.693 |
| 0.90.9 = | 0.909 | 0.30.3 = | 0.698 |
| 0.80.8 = | 0.836 | 0.20.2 = | 0.724 |
| 0.70.7 = | 0.779 | 0.10.1 = | 0.79 |
| 0.60.6 = | 0.736 | 0.00010.0001 = | 0.99 |
| 0.50.5 = | 0.707 | 00 = | 1 |
The further you approach 0 in the exponent that number approaches 1, therefore, it can be presumed that the answer is 1.
0! = 1:
| Faculty | Answer |
| 0! | 1 |
| 1! | 1 |
| 2! | 2 |
| 3! | 6 |
| 4! | 24 |
| 5! | 120 |
All of the answers get divided by a certain number that counts down by one every time
120/24 = 5
24 / 6 = 4
6 / 2 = 3
2 / 1 = 2
1 / 1 = 1
They count down by 1 all the time so when it comes to 0, 1 divided by 1 is 1
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