AP Calc. BC Exam Unit 1

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12 Terms

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LOG PROPERTIES

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ln(ab) =

lna + lnb

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ln(a/b) =

lna - lnb

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ln(a²) =

2lna

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ln(1) =

0

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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>
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POLYNOMIALS

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linear function

f(x) = mx + b

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quadratic function

f(x) = ax² + bc + c

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cubic

f(x) = ax³ + bx² + cx + d

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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 2Ď€

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