## Pre-Calculus Set 1

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AquaCloud  on May 20, 2012

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# Pre-Calculus Set 1

 FunctionA function is a rule between two sets of numbers where each number in the first set, called the domain, is related to ONE number in the second set, called the range. (x-variable, independent variable, input variable). Is expressed as f of x, or f(x)
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#### Definitions

Function A function is a rule between two sets of numbers where each number in the first set, called the domain, is related to ONE number in the second set, called the range. (x-variable, independent variable, input variable). Is expressed as f of x, or f(x)
Example of a functionWhen we think of a function, we generally think of a formula. As an example, the speed in feet per second of the space shuttle Atlantis t seconds after launch can be modeled by the quadratic function

S(t) = 0.0002t3 - 0.076t2 + 38.731t + 837.53.

This represents a function because for any value of t there is only one value of S. In this example, t is the independent variable and S is the dependent variable.
Piece-wise function A piece-wise function is a single function made up of pieces of other functions.

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