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Chapter 2 review
| 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 |
| 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 |
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