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Chapter 2, Functions, Chapter 4 Polynomial and Rational Functions, Chapter…
Chapter 2
Function f(x)=
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A function has a local maximum at c if there is an open interval I containing c for all x not equal to c in I f(x) < f(c). We call f(c) a local maximum of f
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A function has a local minimum at c if there is an open interval I containing c for all x not equal to c in I f(x) > f(c). We call f(c) a local minimum of f
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Average rate of change
y/x = f(b) - f(a) / b-a, a cannot = 0
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Functions
Chapter 5
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Exponential Equations
Involve terms of the form a^x, a > 0, a ≠ 1
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Finance
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Compound Interest
Logarithms
Log equations:
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Change Base
a=present base
b=new base
m=value
Then do:
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Chapter 3
Linear functions
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A linear function f(x) = mx+b is increasing over its domain if its slope, m, is positive. It is decreasing over its domain if its slope, m, is negative. It's constant over its domain if its slope, m, is 0.
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Quadratic functions
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Quadratic Formula:
Linear Models
If the average rate of change of a function is a constant m, a linear function f can be used to model the relation between the two variables using f(x)=mx+b where b is the value of f at 0, that is, f(0).
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