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Calculus
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equation
a statement that two mathematical expressions are equal
describes a relationship between two quantities
solution
a set of numbers that can be substituted for the variables in an equation so that the equality is true
A solution is said to _______ an equation.
satisfy
function
a formula, rule or procedure for taking a set of numbers and assigning to each number x in the set precisely one value
independant variable
x in f(x); can be picked to be more or less any number
an arbitrary number in the domain of a function f
plays the role of a "placeholder"
f(x)
f is a function of x
dependant variable
y = f(x) ; these values depend on those of x
y = f(x)
defining y as a function of x
undefined
when an equation or function makes no sense at a particular point, it is said to be undefined at that point
domain
the set of points where a function is defined
codomain
y; or the value of f at x
range
the set of all possible values of f(x) as x varies throughout the domain
linear function
f(x) = mx + b
m = slope
b = y intercept
quadratic function
f(x) = ax
^{2}
+ bx + c
standard form = f(x) = a (x - h)
^{2}
+ k
vertex = (h,k)
a > 0 parabola opens upward; a < 0 opens downward
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Author
clydethedog
ID
23174
Card Set
Calculus
Description
Book by Elliot C. Gootman, Ph.D.
Updated
2011-02-19T22:43:32Z
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