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