Absolute Value Function- An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line. The absolute value parent function, written as f(x) = |x|
Constant of Variation- The ratio between two variables in a direct variation or the product of two variables in an inverse variation. In the direct variation equations = k and y = kx , and the inverse variation equations xy = k and y = , k is the constant of variation.
Dependent Variable- a variable (often denoted by y ) whose value depends on that of another.
Direct Variation- A direct variation is a situation in which two quantities -- such as hours and pay, or distance and time -- increase or decrease at the same rate. The ratio between the quantities is constant; that is, as one quantity doubles, the other quantity also doubles.
Domain- the domain of a function is the set of "input" or argument values for which the function is defined. That is, the function provides an "output" or value for each member of the domain.
Function- A function can be defined by any mathematical condition relating each argument (input value) to the corresponding output value. If the domain is finite, a function f may be defined by simply tabulating all the arguments x and their corresponding function values f(x).
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 linear function is a polynomial of degree one or less, including the zero polynomial (the latter not being considered to have degree zero). When the function is of only one variable, it is of the form.
Linear Inequality- In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: < is less than. > is greater than. ≤ is less than or equal to.
Parent Function- A parent function is the simplest function of a family of functions. For the family of quadratic functions, y = ax2 + bx + c, the simplest function of this form is y = x2.
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 — compare slope-intercept form.
Range- The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Relation- A relation between two sets is a collection of ordered pairs containing one object from each set. If the object $x$ is from the first set and