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23 Cards in this Set
- Front
- Back
linear equation in two variables
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y=mx+b, aka the simplest mathematical model for relating two variables
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slope-intercept form
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y=mx+b
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ratio
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if the x and y axis have same unit of measurement, then slope has no units
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rate
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if x axis and y axis have different units of measure
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point-slope form
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y-y1=m(x-x1)
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two-point form
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y-y1=y2-y2/x2-x1(x-x1)
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general form
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Ax+By+C=0
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linear interpolation
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when the estimated point lies in between 2 points
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linear extrapolation
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when the estimated point lies outside 2 points
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parallel
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slopes are equal; m1=m2
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perpendicular
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m1=-1/m2
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relation
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two quantities that are related to eachouther by some rule of correspondance.
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function
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is a 1 to 1 relation; every x is only to 1 y
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domain
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set of all inputs for which a function is defined
INDEPENDENT VARIALBLE |
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range
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set of all outputs assumed by the dependent variable ( set of all functional values)
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first chracteristic of a function
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every domain is matched to a range
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2nd characteristic
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not every range must have a domain
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3rd characteristic
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a range can have more than 1 matched domain
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4th characteristic
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A domain can only be matched to 1 range
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four ways to represent a function
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VANG
V:verbally A:algebraically N:numerically G:graphically |
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implied domain
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domain is not specified, all real #s are assumed
ex. f(x)= 1/x-4 all real numbers but x≠4 |
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independent variable
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x
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dependent variable
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y
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