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Functions & Linear
Pre-Algebra
| Term | Definition |
|---|---|
| Coordinate Plane | Formed by the intersection of two numbers lines, the horizontal axis and the vertical axis. |
| X-axis | The horizontal axis on the coordinate plane. |
| Y-axis | The vertical axis on the coordinate plane. |
| Quadrants | the four regions into which the x and y-axis separate the coordinate plane. |
| Origin | The point at which the x and y-axis intersect on the coordinate plane. (0,0) |
| Ordered Pair | The set of numbers, or coordinates, written in the form (x,y). |
| X-coordinate | The x-value of an ordered pair, represents the horizontal placement of the point. |
| Y-coordinate | The y-value of an ordered pair, represents the vertical placement of the point. |
| Relation | A set of ordered pairs |
| Domain | The set of x-values within the ordered pairs of a relation. |
| Range | The set of y-values within the ordered pairs of a relation. |
| Independent Variable | The x-value within a function. y=mx+b (the "x" is independent |
| Dependent Variable | The y-value within a function. y=mx+b (the "y" is dependent) |
| Vertical Line Test | if any vertical line passes through the graph of a relation no more than once, than it is a function. |
| Rate of Change | A ratio that shows how one variable changes with respect to another. |
| Slope | A ratio that compares the vertical to horizontal change between points. |
| Positive Slope | A line that is increasing from left to right. |
| Negative Slope | A line that is decreasing from left to right |
| Zero Slope | A horizontal line |
| Undefined Slope | A vertical line |
| Slope Formulula | A formula used to find the slope between 2 points. m= (y2-y1)/(x2-x1) or m=Change in Y/Change in X |
| Standard Form | Another form of a line Ax+By=C (where A,B,C are integers and x &y are variables) |
| Vertical Line | A line with an undefined Slope: x=a (where "a" is any real number) |
| Horizontal Line | A line with zero slope; y=a (where "a" is any real number) |
| Linear Function | A function represented |
| Nonlinear Function | A function that cannot be represented by a line, but often is a curve; rate of change is NOT constant. (Not the same number) |
| Proportional Relationship | If the ratios of quantities are equal, Than they are proportional. Example: 5 Candies = $0.50 & 7 Candies = $0.70 |
| Non-Proportional Relationship | If the ratios of quantities are not equal, then they are not proportional. 12 Candies = $1 & 30 Candies = $2 |
| Constant of Variation | The ratio between all ordered pairs k=y/x |
| Direct Variation | A specific relationship in which there is a constant ratio between all ordered pairs. y=k*x |
Created by:
hcarew
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