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AlgebraAM
chap. 4 vocab terms-graphing linear equatons and functions
term | definition |
---|---|
quadrant | Bfour regions into which the coordinate plane is divided by the x-axis and the y-axis |
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 |
linear function | the equation Ax+By=C represents a linear function provided B does not equal 0 |
x-intercept | the x-coordinate of a point where a graph crosses the x-axis |
y-intercept | the y-intercept of a point where the graph crosses the y-axis |
slope | the slope of a nonvertical line is the ratio of the vertical change(rise) to the horizontal change(run) between any two points on the line. |
rate of change | a comparison of a change in one quantity with a changge in another quantity. |
slope-intercept form | a linear equation written in the form y=mx+b where m is the slope and b is the y-intercept of the equation's graph. |
parallel | two lines in the same plane that do not intersect. |
direct variation | the relationship of two variablezsx and y if there is a nonzero number a such that y=ax. if y=ax, then y is said to vary directly with x. |
constant of variation | the nonzero constant a in a direct variation equation y=ax or in an inverse variation equation y=a/x. |
function notation | a way to name a function is using the symbol f(x) instead of y. the symbol f(x) is read as "the value of f at x" or as "f of x". |
family of functions | a group of functions with similar characteristics. |
parent linear function | the function f(x)=x, which is the most basic function in the family of linear functions. |