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pAlg1 C3
Alg1 C3
| Term | Definition |
|---|---|
| relation | a pairing of inputs with outputs |
| function | a relation that pairs each input with exactly one output |
| domain | the set of all possible input values (x) |
| range | the set of all possible output values (y) |
| independent variable | the variable that represents the input values of the function (x) |
| dependent variable | the variable that represents the output values of the function (y) |
| absolute value function | a function that contains an absolute value expression |
| constant function | a linear equation written in the form y = 0x + b or y = b |
| continuous domain | a set of input values that consists of all numbers in an interval |
| discrete domain | a set of input values that consists of only certain numbers in an interval |
| family of functions | a group of functions with similar characteristics |
| function notation | another name for y denoted as f(x) and read as "the value of f at x" or "f of x" |
| horizontal shrink | a transformation that causes the graph of a function to shrink toward the y-axis when all the x-coordinates are multiplied by a factor a, where a > 1 |
| horizontal stretch | a transformation that causes the graph of a function to stretch away from the y-axis when all the x-coordinates are multiplied by a factor a, where 0 < a < 1 (fraction) |
| linear equations in two variables | an equation that can be written in the form y = mx + b, where m and b are constants |
| linear function | a function whose graph is a nonvertical line |
| mapping diagram | diagram showing how related functions are paired |
| nonlinear function | a function that does not have a constant rate of change and whose graph is not a line |
| parent function | the most basic function in a family of functions |
| piecewise function | a function defined by two or more equations |
| reflection | a transformation that flips a graph over a line called the line of reflection |
| rise | the change in y between any two points on a line |
| run | the change in x between any two points of a line |
| slope | the rate of change between any two points on a line |
| slope-intercept form | the linear equation written in the form y = mx + b |
| solution of a linear equation in two variables | an ordered pair (x, y) that makes an equation true |
| standard form of a linear equation | a linear equation written in the form Ax + By = C, where A, B, and C are real numbers and A and B are not both zero |
| transformation | a change in the size, shape, position, or orientation of a graph |
| translation | a transformation that shifts a graph horizontally and/or vertically but does not change the size, shape, or orientation of the graph |
| vertex | the point where a graph changes direction |
| vertex form of an absolute value function | an absolute value function written in the form f(x) = a|x - h| + k, where a cannot equal 0 |
| vertical shrink | a transformation that causes the graph of a function to shrink toward the x-axis when all the y-coordinates are multiplied by a factor a, where 0 < a < 1 (fraction) |
| vertical stretch | a transformation that causes the graph of a function to stretch away from the x-axis when all the y-coordinates are multiplied by a factor a, where a > 1 |
| x-intercept | the x-coordinate of a point where the graph crosses the x-axis |
| y-intercept | the y-coordinate of a point where the graph crosses the y-axis |
Created by:
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shelleypruit
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