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Pre-Calculus Ch 1

TermDefinition
composition The combining of functions by using the result of one function to evaluate a second function.
continuous function A function that can be graphed with no breaks, holes, or gaps.
dilation A transformation in which the graph of a function is compressed or expanded vertically or horizontally.
domain The set of all numbers that can be put into a function.
end behavior Describes what happens to the value of f(x) as x increases or decreases without bound.
even function A function that is symmetric with respect to the y-axis.
extrema The maximum and minimum values of a function.
function A relation that assigns to each element in the domain exactly one element in the range.
interval notation An expression that uses inequalities to describe subsets of real numbers.
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).
limit The unique value that a function approaches as x-values of the function approach c from the left and right sides.
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.
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.
odd function A function that is symmetric with respect to the origin.
parent function The simplest function in a family of functions. A function that is transformed to create other members in a family of functions.
range The set of all output values of a function.
reflection A transformation in which a mirror image of the graph of a function is produced with respect to a specific line.
decreasing function for every x1 and x2 in an interval where f(x1)>f(x2) when x1<x2
increasing function for every x1 and x2 in an interval where f(x1)<f(x2) when x1<x2
zeros The x-intercepts of a function.
point symmetry Graphs that can be rotated 180 degrees with respect to a point and appear unchanged
line symmetry Graphs that can be folded along a line so that the 2 halves match exactly.
Created by: ballen1209