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Chapter 2 review
| Term | Definition |
|---|---|
| Absolute value function | f(x)=|mx+b|+c is a absolute value equation in two variables... |
| dependent variable | a variable (often denoted by y ) whose value depends on that of another. |
| 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. |
| Domain | The domain is the set of all possible x-values which will make the function "work", and will output real y-values. |
| Function | Often, the equation relates the value of a function (or functions) at some point with its values at other points. |
| 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. |
| Independent variable | a variable (often denoted by x ) whose variation does not depend on that of another. |
| linear equation | an equation between two variables that gives a straight line when plotted on a graph. |
| 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. |
| linear inequality | linear inequality contains one of the symbols of inequality: < is less than. > is greater than. ≤ is less than or equal to |
| 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 |
| parent diagram | is the simplest function of a family of functions. |
| 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 |
| 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. |
| Reflection | A transformation in which a geometric figure is reflected across a line, creating a mirror image. |
| relation | between two sets is a collection of ordered pairs containing one object from each set |
| 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. |
| Shrink | multiplies all y values by the same factor greater than 1. |
| Slope | is often denoted by the letter m. The direction of a line is either increasing, decreasing, horizontal or vertical. |
| 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 |
| standard form | is a way of writing down very large or very small numbers easily. |
| stretch | multiples all y values . |
| transformation | Change |
| translation | shifts shifts a graph horizontally vertically or both |
| trend line | a line that approximates the relationship between data |
| vertex | each angular point of a polygon, polyhedron, or other figure. |
| vertex line test | s a visual way to determine if a curve is a graph of a function or not |
| x intercept | is a point on the graph where y is zero |
| y intercept | f this line is the value of y at the point where the line crosses the y axis. |
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