Solutions for Chapter 1.1: Real Numbers, Functions, and Graphs

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Solutions for Chapter 1.1: Real Numbers, Functions, and Graphs

Solutions for Chapter 1.1
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Textbook: Calculus: Early Transcendentals
Edition: 3
Author: Jon Rogawski, Colin Adams
ISBN: 9781464114885

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9781464114885. Chapter 1.1: Real Numbers, Functions, and Graphs includes 86 full step-by-step solutions. Since 86 problems in chapter 1.1: Real Numbers, Functions, and Graphs have been answered, more than 17170 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Additive inverse of a complex number

    The opposite of a + bi, or -a - bi

  • Augmented matrix

    A matrix that represents a system of equations.

  • Basic logistic function

    The function ƒ(x) = 1 / 1 + e-x

  • Bounded below

    A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

  • Continuous function

    A function that is continuous on its entire domain

  • General form (of a line)

    Ax + By + C = 0, where A and B are not both zero.

  • Grapher or graphing utility

    Graphing calculator or a computer with graphing software.

  • Infinite limit

    A special case of a limit that does not exist.

  • Interval notation

    Notation used to specify intervals, pp. 4, 5.

  • Irreducible quadratic over the reals

    A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

  • Linear function

    A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

  • Multiplicity

    The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

  • NDER ƒ(a)

    See Numerical derivative of ƒ at x = a.

  • Principal nth root

    If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

  • Quotient polynomial

    See Division algorithm for polynomials.

  • Reciprocal identity

    An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

  • Reciprocal of a real number

    See Multiplicative inverse of a real number.

  • Vertex of a cone

    See Right circular cone.

  • Weights

    See Weighted mean.

  • y-coordinate

    The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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