CLEP College Mathematics

Prime Number - answer-whole number that has only 2 factors (1 and itself) Composite Number - answer-whole number that has factors in addition to 1 and itself 0 & 1 - answer-Neither prime nor composite Even Numbers - answer-Composite (because they are all divisible by two) Numbers that end in 5 - answer-Composite (because they are all divisible by 5) Prime Numbers up to 20 - answer-2, 3, 5, 7, 11, 13, 17, 19 Interval - answer-Connected portion of the real line Closed Interval - answer-Filled in circles & [ ] Open Interval - answer-Open circles & ( ) Rational Number - answer-Number that can be written as a ratio/fraction Ex: 8 = 8/1 3/4 7,344/123,239 *EVERY WHOLE NUMBER* Irrational Number - answer-Number that can be written as a decimal but not a fraction Ex: pi= 3.141592... square root 2= 1.414213 Absolute Value - answer-distance from 0 |x| Ex: |3|=3 |-3|=3 *never negative* Factors - answer-Numbers you multiply to get another number Prime Factorization - answer-List of prime numbers that are factors of a number Ex: prime fac of 8 = 2X2X2 *Take number and divide it by smallest prime that goes into it* Relation - answer-Relationship between sets of information Domain - answer-set of all starting points; x Range - answer-set of all ending points; y All functions are _________ but not all ______ are functions. - answer-RELATIONS Well-behaved Function - answer-relation that has only one y when given one x *Can't share * None can not be matched * If you can draw a _______________ through two points it is NOT a function - answer-VERTICAL LINE Linear Function - answer-f(x)=x D: (-inf, inf) R: (-inf, inf) *Diagonal Line* Constant Function - answer-f(x)=c D: (-inf, inf) R: (y|y=c) *Horizontal Line* Quadratic Function - answer-f(x)=x^2 D: (-inf, inf) R: [0, inf) *Smile/Increases Quickly* Cubic Function - answer-f(x)=x^3 D: (-inf, inf) R: (-inf, inf) *Mirror Half Quadratic* Square Root Function - answer-f(x)=sq rt x D: [0, inf) R: [0, inf) *Sideways Quadratic* Absolute Value Function - answer-f(x) =|x| D: (-inf, inf) R: [0, inf) *A V* Graphing a Function - answer-1) find at least 4 ordered pair solutions 2) plot points 3) connect X/Y Intercept - answer-Where graph crosses that axis whether it be x or y If no vertical line can be drawn so that it intersects more than once it is a _______. - answer-FUNCTION Increasing - answer-Going up left to right Decreasing - answer-Going down left to right Constant - answer-horizontal Even - answer-Replacing x with -x doesn't change the function Odd - answer-Replacing x with -x changes every sign of every term Greatest Integer Function - answer-Greatest integer that is less than or equal to x; int(x) Function - answer-No duplicate x's in set, all x's go to y's and are different If it is a fraction, set denominator to ____ then solve. - answer-0 Composition - answer-Plus entire function in for x; symbol is o Inverse - answer-Same points just reversed 1) Draw points 2) Draw reflection line (diagonal through 0,0) 3) reflect points Set - answer-Collection of distinct objects *Sets are ONLY EQUAL if they have the SAME EXACT ELEMENTS*