College Algebra Chapter 1
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Set of Natural #'s (N)
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{1,2,3,4,5,...}
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Set of Whole #'s (W)
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{0,1,2,3,4,5,...}
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Set of Integers (Z)
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{...,-2,-1,0,1,2,...}
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Set of Rational #'s (Q)
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{P/Q I P&Q are integers& Q is not = to 0}
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π = 3.14...
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Irrational #
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Set of Irrational #'s (H)
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Q={X l X is not a rational #}
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Real Numbers (lR)
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{all numbers}
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Pythagorean Theorem
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a^2 + b^2 = c^2
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Distance Formula
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√((x2-x1)^2+(y2-y1)^2) = d
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Mid-Point Formula
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Xm= (X1+X2)/2, Ym= (Y1+Y2)/2
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First Degree (Linear) Fns
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Y=f(x)=ax+b
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Slope of a line
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M=(y2-y1)/(x2-x1)
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Point Slope Form
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(y-y1)=m(x-x1)
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Slope Y-intercept Form
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y=mx+b
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Slope 0
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y=b
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Undefined Slope
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x=a
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Parallell Lines
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two lines with the same slope
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Perpendiculer Lines
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product of slopes are equal to -1
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Conditional Eqn
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has a single # for the answer
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Inconsistant Eqn
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has no Solution
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Identity Eqn
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all real #'s (ex 0=0)
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Relation
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set of ordered pairs
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Domain
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X Coor.
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Range
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Y Coor.
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Function
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type of relation in which no two ordered pairs can have the same first coor. and differnet second coor. (x can never repeat)
