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### 24 Cards in this Set

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 Relation a set of pairs of input and output vavlues. Domain the set of all inputs, or x coordinates Range set of all outputs, or y coordinates Mapping diagram describes a relation by linking elements of the domain with elements of the range. Function each element of the domain is paired with exactly one element in the range vertical line test you can use the vertical line test to determine weather a relation has at least one element of the domain paired with more than one element of the range. If a vertical line passes through two or more points on the graph, then the relation is not a function. Function notation You read the function notation f(x) as "f of x" or a function of x" Note that f(x) does not mean f times x Linear function A function's graph that is a line. Linear Equation A linear function's equation Dependent value the Y value Independent Value The x value y-intercept a point in which the line crosses the y axis x-intercept a point in which the line crosses the x axis standard form of a linear equation ax+by=c Slope the ration of the vertical change to corresponding horizontal chnage Slope Formula slope=vertical change (rise) / horizontal change (run) = y2-y1/x2-x1, where x2 -x1 not equal to 0 Point Slope Form The line through the point (x1,x2) with the slope m has the equation below. y-y1=m(x-x1) Slope Intersection Form y=mx+b Direct Variation y=kx k doesn't equal 0 then it a direct variation Constant of Variable k=y/x Absolute Value Function f(x)=/mx+b/ Vertex where the function reaches a maximum or minimum Translation operation that shifts a graph horizontally vertically or both Parent function A family of functions is a group of functions with the common characteristics. A parent function is the simplest function with these characteristics.