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Chapter Review

TermDefinition
Absolute value function a function of the form f(x)= |mx+b|+c where m is does not equal 0
dependent variable y
direct variation A linear function defined by and equation of the form y=kx, Where k is not equal to 0
domain is the set of all inputs, or x-coordinates of the ordered pairs
function is a relation in which each element of the domain is paired with exactly one element in the range
function notation f(x) as "f of x" or "a function f of x"
independent variable x
linear equation represent a linear function, is any ordered pair (x,y) that makes the equation true
linear function a function whose graph is a line
linear inequality is an inequality in two varibales whose graph is a region of the coordinate plane that is bounded by a line
parallel lines never ending lines
perpendicular lines lines that cross and form a 90 degree angle
mapping diagram links elements of the domain with corresponding elements of the range
parent function is the simplest function with these characteristics
point-slope form y-y1= m(x-x1)
range is the set of all outputs, or y-coordinates of the ordered paired
reflection in the x-axis changes y-values to their opposites. when you change the y-values of a graph to their opposites, the graph reflects across the x-axis
relation is a set of pairs of input and output values
scatter plot is a graph that relates two different sets of data by plotting the data as ordered pairs
shrink reduces y-values by a factor between 0 and 1, thereby compressing the graph vertically
slope is the ratio of the vertical change to a corresponding horizontal change
slope-intercept form y=mx+b
standard form Ax+By=C
stretch multiplies all y-values by the same factor greater than1, thereby stretching a graph vertically
transformation change of a parent function
translation a graph horizontally, vertically, or both. results in a graph of the same shape and size but possible in a different position
trend line is a line that approximates the relationship between the data sets of a scatter plot
vertex is a point where the function reaches a maximum or minimum
vertical-line test tells whether the relation is a function
x-interept is the point at which the line crosses the x-axis
y-intercept is the point at which the line crosses the y-axis
Created by: 250342
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