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16 Cards in this Set
- Front
- Back
x-axis symmetry
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replace the y with a -y
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y-axis symmetry
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replace x with a -x
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symmetry with respect to the origin
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replace the x and y with their reciprocals
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Y intercept
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where the graph crosses the y axis
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Slope
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Δy/Δx
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General form for a line
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Ax+By+c=0
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Slope intercept form for a line
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y=mx+b
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Parellel lines
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Slopes are equal; different y intercepts
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Perpendicular lines
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opposite signs on their slopes; Δy/Δx are negative reciprocals of each other
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Function
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A relation between two sets x and y is a of ordered pairs (x,y) is on the graph (x,y) in relation
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Real Value function
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f: x→y of a real variable x is a correpondence that assigns to each number of x exactly one number y
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Domain
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Range of all the x-values
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Range
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Range of all the y-values
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Limit
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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.
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Continuous function
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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
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Intermediate Value Therom
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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.
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