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# 1. Functions

### chapter 1

What is a variable? a symobol that can be replaced by any member of a set of numbers or objects.
What is an algebraic expression? the result of the number and variables combined.
What is an algebraic sentence? consists of expressions related with verbs.
What is a function? a correspondence or pairing between two variables such that each value of the independent variable corresponds to exactly one value of the dependent variable.
what are natural numbers? counting numbers- {1,2,3,4,5...}
What are whole numbers? {0,1,2,3,4,5...}
What are integers? {-3,-2,-1,0,1,2,3...}
What are rational numbers? where a and b are integers and b does not =0
What are real numbers? can be represented by decimals.
f(x) notation reads..? f of x
Theorem (vertical-line test for functions) is.. No vertical line intersects the graph of a function in more than one point.
What is the distributive property for all real numbers? c(a+b ) = ca+cb
What is the opposite of a sum theorem? -(a+b) = -a+-b
Created by: shelbyq