PA Chapter 8 Linear Functions
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Created by:
AAMathDept on January 30, 2012
Subjects:
Description:
Linear Functions
Classes:
Period2, 4th block Baine, 3rd Block Baine, 2nd block Baine, AA Pre-Algebra
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30 terms
Terms | Definitions |
|---|---|
 Relations | Any set of points. |
| Domain | The set of x-values. |
| Range | The set of y-values. |
| Input | Each domain value. |
| Output | Each range value. |
| Function | A relation with no repeating x-values such that there is exactly one output for each input. |
| Mapping Diagram | Lists the inputs and outputs in order drawing arrows from the inputs to their outputs. |
| Vertical Line Test | A visual test on a graph to determine if the relation is a function. If this line passes through more than one point, then it is not a function. |
| Vertical Line Equation | x = c |
| Horizontal Line Equation | y = c |
| Standard Form | ax + by = c |
| Slope-Intercept Form | y = mx + b |
| x-intercept | (x,0); The point which crosses the x-axis. |
| y-intercept | (0,y); The point which crosses the y-axis. |
| Increasing | A graph that rises from left to right. |
| Decreasing | A graph that falls from left to right. |
| Linear Function Graph | A function whose graph is a nonvertical line. |
| Nonlinear Function Graph | A function whose graph is not a line. |
| Slope | Rise/Run; Difference of the y-coordinates/Difference of the x-coordinates. |
| Positive Slope | An increasing line has this type of slope. |
| Negative Slope | A decreasing line has this type of slope. |
| Zero slope | A horizontal line has this type of slope. |
| Undefined Slope | A vertical line has this type of slope. |
| Same Slope | Parallel lines have this type of slope. |
| Opposite Reciprocal Slope | Perpendicular lines have this type of slope. |
| y-intercept | If a function is in the format y = mx + b, the b is the ___. |
| Direct Variation | Two points are in _____ if they relate to each other as y=kx. |
| Function Notation | Written as f(x), is read as "f of x", and represents the value of y given a value of x. |
| Systems of Linear Equations | Two or more linear equations. |
| Coordinate Point | A solution of a system is written as a _______ representing where the two lines cross. |
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