Unit 6: Linear Functions
Terms in this set (...)
Absolute Value Functions
A function with a V-shaped graph that opens up or down. The parent function for the family of Absolute Value Functions is y = |x|.
Constant of Variation
The nonzero constant K in the function y = k(x).
A number from -1 to 1 that tells you how closely the equation of the line of the best fit models the data.
A linear function defined by an equation of the form
y = k(x), where k ≠0.
Line of Best Fit
The most accurate trend line on a scatter plot showing the relationship between two sets of data.
An equation whose graph forms a straight line.
Linear Parent Function
The simplest form of a linear function.
The relationship between two variables such that as the value of one variable increases, the other decreases.
There does not appear to be a relationship between two sets of data.
A number of the form -b/a where a/b is a nonzero rational number. The product of a number and its opposite reciprocal is -1.
Two lines in the same plane that never intersect. Parallel lines have the same slope.
A family of functions is a group of functions with common characteristics. A parent function is the simplest function with these characteristics.
Lines that intersect to form right angles. Two lines are perpendicular if the product of their slopes is -1.
The relationship between two sets of data in which both sets of data increase together.
Rate of Change
The relationship between two quantities that are changing. The rate of change is also called slope.
A graph that relates two different sets of data by displaying them as ordered pairs.
The ratio of the vertical change to the horizontal change.
The slope-intercept form of a linear equation is
y = m(x) + b, where m is the slope of the line and b is the y-intercept.
Standard Form of a Linear Equation
The standard form of a linear equation is
Ax + By = C, where A, B, and C are real numbers and A and B are not both zero.
A transformation that shifts a graph horizontally, vertically, or both.
The x-coordinate of a point where a graph crosses the x-axis.
The y-coordinate of a point where a graph crosses the y-axis.
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