Algebra II

An equation described by y = │x│

A line that a graph approaches, but does not reach, as x- or x- values increase in the positive or negative direction

The line about which a figure is symmetric

Subsets chosen from a larger set of objects in which the order of the items doesn’t matter (Ex. the number of different committees of three that can be chosen from a group of twelve members)

A process used to create a perfect square trinomial

Suppose f and g are functions such that the range of g is a subset of the domain of f, then the composite function f ◦ g can be described by the equation [ f ◦ g](x) = f[g(x)]

If A and B are events, the probability of A assuming B holds is equal to the probability of both A and B being favorable divided by the probability of B

The outcome of a dependent event is affected by the outcome of another event.

A square array of numbers or expressions enclosed between two parallel vertical bars

A linear function of the form y = kx where k is the constant of variation and k ≠ 0

The expression b2– 4ac obtained from a quadratic equation ax2+bx+c = 0

Set of all first coordinates from the ordered pairs of a relation

A reference to the graph of a polynomial function as rising or falling to the right and rising or falling to the left

A function whose graph is symmetric to the y-axis. f(–x) = f(x)

A function in which the variable(s) occur in the exponent and can be expressed in the form f(x) = abx or b>0

A special type of relation in which each element of the domain is paired with exactly one element of the range

If event M can occur in m ways and is followed by an event N that can occur n ways, then the event M followed by the event N can occur in m · n.

A symmetric bell-shaped distribution

The square root of -1. (an imaginary number)

The outcome of an independent event is not affected by the outcome of another event.

The number that indicates the root of a radical

Statements indicating the two quantities are not equal, utilizing symbols > (greater than) or < (less than) and ≥ or ≤

Two functions f and g are inverse functions if and only if both their compositions are the identity function. Ex. [f ◦ g](x) = x and [g ◦ f](x) = x

Z is jointly proportional to x and y, z = kxy for some constant k

A function that has a constant rate of change and can be modeled by a straight line

A method for finding the maximum or minimum value of a function in two variables subject to given constraints on the variables

A function of the form y = log b x, where b > 0, x > 0 and b ≠ 1

A rectangular array of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets

For matrix A, the inverse of A is A–1 where A ∙ A–1 = 1

The greatest value of the function if it has such an extreme value

The least value of the function if it has such an extreme value

Two events are mutually exclusive if their outcomes can never be the same.

The function whose graph is symmetric to the origin Ex. f(–x) = –f(x)

The graph of a quadratic equation

A function whose graph repeats at regular intervals

An arrangement of things in a certain order

A line or segment that is perpendicular to the segment at its midpoint

Functions using different rules for different parts of the domain

A linear equation in the form (y – y1) = m (x – x1) where m is the slope and (x1, y1) are the coordinates of a given point on the line

The solutions of a quadratic equation of the form ax2 + bx + c = 0, where a≠ 0, are given by the quadratic formula, which is x =

A function described by an equation that can be written in the form f(x) = ax2 + bx + c, where a ≠ 0

An expression that contains a radical whose radicand may contain variables

A radical symbol and its radicand

The set of all second coordinates from the ordered pairs of a relation

An exponent written in the form, where a is an integer and b is a natural number

An expression that can be written in the form, where P and Q are polynomials Q ≠ 0

The process of eliminating a radical from the denominator

A set of ordered pairs of data

A solution of an equation

A linear equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept

An equation in the form Ax + By = C, where A, B, and C are integers and A and B are not both 0.

A function whose graph is a series of disjoint line segments or steps

A simpler method than long division used to divide a polynomial by a binomial

A set of equations with the same variables

A set of inequalities with the same variables

Transformations of graphs including translations, reflections, vertical stretches and vertical shrinks

A measure of spread for a one-variable data set that uses squaring to eliminate the effect of the different sign of the individual deviations It is the sum of squares of the deviations divided by one less than the number of values

A vertical line to which a graph becomes arbitrarily close as the value of f(x) increases or decreases without bound

For any function f(x), if f(a) = 0, then a is a zero of the function