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Pre-Calculus Ch 1

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Term
Definition
composition   The combining of functions by using the result of one function to evaluate a second function.  
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continuous function   A function that can be graphed with no breaks, holes, or gaps.  
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dilation   A transformation in which the graph of a function is compressed or expanded vertically or horizontally.  
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domain   The set of all numbers that can be put into a function.  
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end behavior   Describes what happens to the value of f(x) as x increases or decreases without bound.  
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even function   A function that is symmetric with respect to the y-axis.  
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extrema   The maximum and minimum values of a function.  
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function   A relation that assigns to each element in the domain exactly one element in the range.  
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interval notation   An expression that uses inequalities to describe subsets of real numbers.  
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inverse function   Two functions (f and f^-1) are inverse functions if and only if f[f^-1(x)] = x for every x in the domain of f^-1(x), and f^-1[f(x)] = x for every x in the domain of f(x).  
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limit   The unique value that a function approaches as x-values of the function approach c from the left and right sides.  
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maximum   For a function f, the greatest value of f(x). A critical point on the graph of a function where the curve changes from increasing to decreasing.  
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minimum   For a function f, the least value of f(x). A critical point on the graph of a function where the curve changes from decreasing to increasing.  
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odd function   A function that is symmetric with respect to the origin.  
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parent function   The simplest function in a family of functions. A function that is transformed to create other members in a family of functions.  
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range   The set of all output values of a function.  
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reflection   A transformation in which a mirror image of the graph of a function is produced with respect to a specific line.  
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decreasing function   for every x1 and x2 in an interval where f(x1)>f(x2) when x1<x2  
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increasing function   for every x1 and x2 in an interval where f(x1)<f(x2) when x1<x2  
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zeros   The x-intercepts of a function.  
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point symmetry   Graphs that can be rotated 180 degrees with respect to a point and appear unchanged  
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line symmetry   Graphs that can be folded along a line so that the 2 halves match exactly.  
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