# Calculus

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1. equation
• a statement that two mathematical expressions are equal
• describes a relationship between two quantities
2. solution
a set of numbers that can be substituted for the variables in an equation so that the equality is true
3. A solution is said to _______ an equation.
satisfy
4. function
a formula, rule or procedure for taking a set of numbers and assigning to each number x in the set precisely one value
5. 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"
6. f(x)
f is a function of x
7. dependant variable
y = f(x) ; these values depend on those of x
8. y = f(x)
defining y as a function of x
9. undefined
when an equation or function makes no sense at a particular point, it is said to be undefined at that point
10. domain
the set of points where a function is defined
11. codomain
y; or the value of f at x
12. range
the set of all possible values of f(x) as x varies throughout the domain
13. linear function
• f(x) = mx + b
• m = slope
• b = y intercept