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16 Cards in this Set

  • Front
  • Back
x-axis symmetry
replace the y with a -y
y-axis symmetry
replace x with a -x
symmetry with respect to the origin
replace the x and y with their reciprocals
Y intercept
where the graph crosses the y axis
Slope
Δy/Δx
General form for a line
Ax+By+c=0
Slope intercept form for a line
y=mx+b
Parellel lines
Slopes are equal; different y intercepts
Perpendicular lines
opposite signs on their slopes; Δy/Δx are negative reciprocals of each other
Function
A relation between two sets x and y is a of ordered pairs (x,y) is on the graph (x,y) in relation
Real Value function
f: x→y of a real variable x is a correpondence that assigns to each number of x exactly one number y
Domain
Range of all the x-values
Range
Range of all the y-values
Limit
Let f be a function defined on an open interval containing a # C, except possibly C itself. Let L be a real number. We say the limit as x approaches x f(x)=c exactly when for any E>0 there exists a d>0 such that 0<│x-c│<d then the │f(x) -L│< E.
Continuous function
A function is continuous if: f( c) is defined, limit as x approaches c exists, and the limit as x approaches c is equal to c
Intermediate Value Therom
If f is continuous on a closed interval [a,b] and k is any number between f (a) and f(b), then there must exists at least one number c in [a,b] with f ( c) =k.