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Terms Class: MATH 1111 - College Algebra; Subject: Mathematics; University: College of Coastal Georgia; Term: Fall 2011;
Typology: Quizzes
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A relation between two sets of numbers with a restriction were each element of the domaincorrespondsto only one element in the rangeexample: f(x): x TERM 2
DEFINITION 2 -effofex f is a function of x.example: The amount of money I spend on food I buy depends on the number of people in my household at the time. Money= f (#of people)f(x)= $100(x) TERM 3
DEFINITION 3
DEFINITION 4
DEFINITION 5
-There are several way to represent functions VerbalRepresentation example: I make $3.35 an hour if I work X number hours 2. NumericalRepresentation example: x(seconds) |1 2 3 4 5 6 7 | y(miles) |0.2 0.4 0.6 0.8 1.0 1.2 1.4| 3. Symbolic Representation (the formula) example: f(x)= x/5, where y= f(x) 4. Graphical Representation (the graph) example: plot:(1,0.2), (2,0.4), (3,0.6), (4, 0.8), (5,1.0) [where X Y] TERM 7
DEFINITION 7
DEFINITION 8
DEFINITION 9 -There are two domain issues1.divisionby zero2. (square roots)if the function does not have a fraction or a square root the answer is all real numbers ( R ) TERM 10
DEFINITION 10 -the lines have nodefinedend. (for this card 00 represents infinity)-Domain: All Real numbers( R ) (-00, 00) interval and/or {-00 < x < 00} set builder-Range: y >(or=to) -2 [-2, 00) interval and/or {-2<(or=to) y < 00} set builder