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Chapter 2 review

TermDefinition
absolute value function a function of the form f(x) = |mx + b| + c where m is not = to 0 is an absolute value function
dependent variable if y depends on the value of x then it is a dependent variable.
direct variation a linear function defined by an equation of the form y = kx, where k is not =to 0, represents direct variation.
domain the set of all inputs, or x-coordinates of the ordered pairs.
function a relation in which each element of the domain is paired with exactly one element in the range.
function notation f(x) is a function notation.
independent variable if y depends on the value of x then it is a dependent variable and x is a independent variable.
linear equation y = 3x + 2.
linear function a function whose graph is a line.
linear inequality
mapping diagram a mapping diagram links elements of the domain with corresponding elements of the range.
parent function the simplest function with these characteristics.
point slope form y - y1 = m(x - x1)
range the set of all outputs, or y-coordinates of the ordered pairs.
reflection
relation a set of pairs of input and output values
scatter plot a graph that relates two different sets of data by plotting the data as ordered pairs.
shrink slope reduces y-values by a factor between 0 and 1, thereby compressing the graph vertically.
slope intercept form y = mx + b
standard form of a linear equation Ax + By = C, where A,B and C are real numbers and A and B are not both zero.
stretch multiplies all y-values by the same factor greater than 1, thereby stretching a graph vertically.
transformation shifts a graph horizontally, vertically, or both.
translation a reflection in the x-axis changes y-values to their opposites.
trend line a line that approximates the relationship between the data sets of a scatter plot.
vertex a point where the function reaches a maximum or minimum.
vertical line test a test used to tell whether the relation is a function.
x intercept the point at which the line crosses the x-axis.
y intercept the point at which the line crosses the y-axis
Created by: 271321
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