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