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Solutions for Chapter 0.1: Real Numbers
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 0.1: Real Numbers
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 0.1: Real Numbers includes 92 full stepbystep solutions. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. Since 92 problems in chapter 0.1: Real Numbers have been answered, more than 47695 students have viewed full stepbystep solutions from this chapter.

Additive inverse of a real number
The opposite of b , or b

Axis of symmetry
See Line of symmetry.

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Inequality
A statement that compares two quantities using an inequality symbol

Initial point
See Arrow.

Length of a vector
See Magnitude of a vector.

Line graph
A graph of data in which consecutive data points are connected by line segments

Local extremum
A local maximum or a local minimum

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.