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Chapter 2 review

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