alg 2 unit 1

Rational numbers

are numbers of the form {ab∣a,b∈Z,b≠0}{ab∣a,b∈ℤ,b≠0} and designated by Qℚ .

Irrational numbers

are real numbers which cannot be written as the ratio of two integers. They are designed by Q−ℚ_

Real numbers

are the rational numbers together with the irrational numbers. They are designated by R

A linear inequality

in which each term is either a constant or the product of a constant and a single variable.

term

is a constant, variable, or the product of a constant and variables

Polynomial

is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

A rational expression

is a quotient of two polynomials; an expression of the form PxQ(x)PxQ(x) where P(x)P(x) and Q(x)Q(x) are polynomials and Q(x)≠0.

An exponential equation

is an equation in the form y=abxy=abx where a≠0,b≠1a≠0,b≠1 and b>0.

Quadratic equation

is an equation of the form ax2+bx+c=yax2+bx+c=y where a,b,a,b, and cc are real numbers and a≠0.

rational equation

is an equation that contains one or more rational expressions.

Radical expression

is an expression that includes a radical ().

Quadratic inequality

is an inequality of the form ax2+bx+c<yax2+bx+c<y where a,b,a,b, and cc are real numbers and a≠0,a≠0, or any similar form with ≤,>,≤,>, or ≥.

The discriminant

is the expression, b2−4ac,b2-4ac, which tells the nature of the roots of a quadratic equation of the form ax2+bx+c=0.

Quadratic formula

is the formula x=−b±b2−4ac−−−−−−−√2a,x=-b±b2-4ac2a, used to find the solutions to a quadratic equation of the form ax2+bx+c=0.

Closure

is the property of an operation and set that the performance of the operation on members of the set always yields a member of the set.

function

A relation in which each domain element is paired with exactly one range element is a ___.