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LOG PROPERTIES
ln(ab) =
lna + lnb
ln(a/b) =
lna - lnb
ln(a²) =
2lna
ln(1) =
0
greatest-integer function
g(x) = [x]
the greatest integer not greater than x
![<p>g(x) = [x]</p><ul><li><p>the greatest integer not greater than x</p></li></ul>](https://knowt-user-attachments.s3.amazonaws.com/4bf23b9a-b656-4c8c-9a1f-8896291860db.png)
POLYNOMIALS
linear function
f(x) = mx + b
quadratic function
f(x) = ax² + bc + c
cubic
f(x) = ax³ + bx² + cx + d
a function f is periodic if there is a positive number p such that ________ for each x in the domain of f
f(x+p) = f(x)
smallest such p is called the period of f
f(x) repeats every p units along the x-axis
ex. sinx has a period of 2π