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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   f(x)=|mx+b|+c is a absolute value equation in two variables...  
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dependent variable   a variable (often denoted by y ) whose value depends on that of another.  
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direct variation   The equation y/x = 6 states that y "varies directly as" x since the ratio of y to x (also written y:x) never changes. The number 6 in the equation y/x = 6 is called the constant of variation.  
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Domain   The domain is the set of all possible x-values which will make the function "work", and will output real y-values.  
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Function   Often, the equation relates the value of a function (or functions) at some point with its values at other points.  
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Function notation   The f (x) notation can be thought of as another way of representing the y-value in a function, especially when graphing. The y-axis is even labeled as the f (x) axis, when graphing.  
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Independent variable   a variable (often denoted by x ) whose variation does not depend on that of another.  
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linear equation   an equation between two variables that gives a straight line when plotted on a graph.  
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linear function   a polynomial function of degree zero or one, or is the zero polynomial. In linear algebra and functional analysis, a linear function is a linear map.  
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linear inequality   linear inequality contains one of the symbols of inequality: < is less than. > is greater than. ≤ is less than or equal to  
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mapping diagram   A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired. Its like a flow chart for a function, showing the input and output values  
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parent diagram   is the simplest function of a family of functions.  
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point slope form   The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line  
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range   The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6.  
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Reflection   A transformation in which a geometric figure is reflected across a line, creating a mirror image.  
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relation   between two sets is a collection of ordered pairs containing one object from each set  
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scatter plot   A graph of plotted points that show the relationship between two sets of data. In this example, each dot represents one person's weight versus their height.  
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Shrink   multiplies all y values by the same factor greater than 1.  
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Slope   is often denoted by the letter m. The direction of a line is either increasing, decreasing, horizontal or vertical.  
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slope intercept form   the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept  
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standard form   is a way of writing down very large or very small numbers easily.  
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stretch   multiples all y values .  
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transformation   Change  
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translation   shifts shifts a graph horizontally vertically or both  
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trend line   a line that approximates the relationship between data  
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vertex   each angular point of a polygon, polyhedron, or other figure.  
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vertex line test   s a visual way to determine if a curve is a graph of a function or not  
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x intercept   is a point on the graph where y is zero  
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y intercept   f this line is the value of y at the point where the line crosses the y axis.  
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